Edit Profile (opens in new tab) Helleseth, Tor Co-Author Distance Author ID: helleseth.tor Published as: Helleseth, Tor; Helleseth, T.; Helleseth, Thor more...less Homepage: http://www.ii.uib.no/~torh/ External Links: MGP · ResearchGate · dblp Documents Indexed: 286 Publications since 1976, including 1 Book 21 Contributions as Editor · 1 Further Contribution Reviewing Activity: 89 Reviews Biographic References: 1 Publication Co-Authors: 153 Co-Authors with 281 Joint Publications 3,588 Co-Co-Authors all top 5 Co-Authors 27 single-authored 31 Kumar, P. Vijay 28 Li, Chunlei 26 Hamada, Noboru 25 Kholosha, Alexander 20 Budaghyan, Lilya 20 Li, Nian 18 Ding, Cunsheng 18 Zeng, Xiangyong 16 Yang, Kyeongcheol 15 Kløve, Torleiv 15 Tang, Xiaohu 15 Ytrehus, Øyvind 15 Zinov’ev, Viktor Aleksandrovich 13 Gong, Guang 12 Carlet, Claude 9 Zhou, Zhengchun 8 Charpin, Pascale 8 No, Jong-Seon 8 Xia, Yongbo 7 Martinsen, Halvard M. 7 Ness, Geir Jarle 7 Rønjom, Sondre 7 Shanbhag, Abhijit G. 7 Solé, Patrick 6 Rong, Chunming 6 Shi, Minjia 5 Hu, Honggang 5 Hu, Lei 5 Levenshtein, Vladimir Iosifovich 5 Song, Hong-Yeop 4 Dodunekov, Stefan Manev 4 Johansen, Aina 4 Lahtonen, Jyrki T. 4 Li, Kangquan 4 Qu, Longjiang 4 Rosendahl, Petri 4 Shin, Dong-Joon 4 Tu, Ziran 3 Alahmadi, Adel N. 3 Calderbank, Arthur Robert 3 Chen, Xuemin 3 Hijazi, Rola Asaad 3 Jedwab, Jonathan 3 Jiang, Wenfeng 3 Kim, Young Sik 3 Li, Chaoyun 3 Molland, Håvard 3 Mykkeltveit, Johannes J. 3 Niederreiter, Harald 3 Parker, Matthew Geoffrey 3 Pott, Alexander 3 Reed, Irving S. 3 Schaathun, Hans Georg 3 Truong, Trieu-Kien 3 Wu, Gaofei 3 Zhang, Dan 2 Alhazmi, Hussain 2 Boukliev, Iliya G. 2 Chung, Habong 2 Dobbertin, Hans 2 Fan, Cuiling 2 Golomb, Solomon Wolf 2 Hasan, M. Anwar 2 Jang, Jiwoong 2 Jansen, Cees J. A. 2 Jia, Wenjie 2 Jungnickel, Dieter 2 Kaleyski, Nikolay S. 2 Kim, Sang-Hyo 2 Lam, Kwokyan 2 Luo, Jinquan 2 Mathiassen, John Erik 2 McGuire, Gary 2 Meidl, Wilfried 2 Mesnager, Sihem 2 Muthana, Najat Mohammad 2 Qi, Yanfeng 2 Sandberg, Daniel 2 Sun, Bo 2 Tang, Chunming 2 van Tilborg, Henk C. A. 2 Voloch, José Felipe 2 Wen, Jinming 2 Yan, Haode 2 Yang, Yang 2 Zhang, Yuqing 1 Ahmadi, Omran 1 Alhazmi, Husain 1 Ali, Shakir 1 Anderson, Ross J. 1 Arasu, Krishnasamy Thiru 1 Ball, L. Simeon 1 Bardeh, Navid Ghaedi 1 Bassalygo, Leonid A. 1 Bernstein, Daniel Julius 1 Blache, Régis 1 Blake, Ian F. 1 Blokhuis, Aart 1 Cai, Han 1 Cao, Xiwang ...and 127 more Co-Authors all top 5 Serials 114 IEEE Transactions on Information Theory 25 Designs, Codes and Cryptography 22 Discrete Mathematics 19 Cryptography and Communications 17 Finite Fields and their Applications 6 Lecture Notes in Computer Science 5 Mathematica Japonica 4 Journal of Statistical Planning and Inference 4 Advances in Mathematics of Communications 3 Discrete Applied Mathematics 3 Problems of Information Transmission 2 Ars Combinatoria 2 Information and Control 2 Journal of Combinatorial Theory. Series A 2 Information and Computation 2 Applicable Algebra in Engineering, Communication and Computing 2 Science China. Mathematics 1 Computers & Mathematics with Applications 1 Information Processing Letters 1 Kiberneticheskiĭ Sbornik. Novaya Seriya 1 Normat 1 European Journal of Combinatorics 1 Journal of Complexity 1 SIAM Journal on Discrete Mathematics 1 International Journal of Foundations of Computer Science 1 Journal of Algebraic Combinatorics 1 Tatra Mountains Mathematical Publications 1 RIMS Kokyuroku 1 Journal of Systems Science and Complexity 1 The Kluwer International Series in Engineering and Computer Science 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 IEICE Transactions. E, English transactions. A, Fundamentals of Electronics, Communications and Computer Sciences 1 Discrete Mathematics and its Applications all top 5 Fields 282 Information and communication theory, circuits (94-XX) 99 Number theory (11-XX) 43 Combinatorics (05-XX) 23 General and overarching topics; collections (00-XX) 18 Geometry (51-XX) 10 Statistics (62-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 Computer science (68-XX) 5 Field theory and polynomials (12-XX) 4 Algebraic geometry (14-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 2 Numerical analysis (65-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 246 Publications have been cited 2,835 times in 1,349 Documents Cited by ▼ Year ▼ Handbook of finite fields. Zbl 1319.11001 196 2013 Monomial and quadratic bent functions over the finite fields of odd characteristic. Zbl 1177.94149 Helleseth, Tor; Kholosha, Alexander 99 2006 Linear codes with two or three weights from weakly regular bent functions. Zbl 1359.94738 Tang, Chunming; Li, Nian; Qi, Yanfeng; Zhou, Zhengchun; Helleseth, Tor 84 2016 Sequences with low correlation. Zbl 0924.94027 Helleseth, Tor; Kumar, P. Vijay 77 1998 Linear codes with two or three weights from quadratic bent functions. Zbl 1405.94116 Zhou, Zhengchun; Li, Nian; Fan, Cuiling; Helleseth, Tor 76 2016 Some results about the cross-correlation function between two maximal linear sequences. Zbl 0348.94017 Helleseth, Tor 73 1976 A generic construction of Cartesian authentication codes. Zbl 1310.94178 Ding, Cunsheng; Helleseth, Tor; Kløve, Torleiv; Wang, Xuesong 62 2007 Almost difference sets and their sequences with optimal autocorrelation. Zbl 1008.05027 Arasu, K. T.; Ding, Cunsheng; Helleseth, Tor; Kumar, P. Vijay; Martinsen, Halvard M. 57 2001 The weight distribution of irreducible cyclic codes with block lengths \(n_1 ((q^\ell-1)/N)\). Zbl 0357.94007 Helleseth, Tor; Kløve, Torleiv; Mykkeltveit, Johannes 56 1977 New generalized cyclotomy and its applications. Zbl 0908.11058 Ding, Cunsheng; Helleseth, Tor 55 1998 Optimal ternary cyclic codes from monomials. Zbl 1364.94652 Ding, Cunsheng; Helleseth, Tor 55 2013 New families of almost perfect nonlinear power mappings. Zbl 0960.11051 Helleseth, Tor; Rong, Chunming; Sandberg, Daniel 52 1999 How to build robust shared control systems. Zbl 0919.94012 Anderson, Ross; Ding, Cunsheng; Helleseth, Tor; Kløve, Torleiv 44 1998 On the linear complexity of Legendre sequences. Zbl 0912.94014 Ding, Cunsheng; Helleseth, Tor; Shan, Weijuan 42 1998 New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\). Zbl 1081.11077 Helleseth, Tor; Zinoviev, Victor 42 2003 A class of new permutation trinomials. Zbl 1380.05002 Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 39 2018 Several classes of permutation trinomials from Niho exponents. Zbl 1369.11089 Li, Nian; Helleseth, Tor 39 2017 Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004 Li, Nian; Helleseth, Tor; Tang, Xiaohu 39 2013 Some power mappings with low differential uniformity. Zbl 0886.11067 Helleseth, Tor; Sandberg, Daniel 38 1997 Niho type cross-correlation functions via Dickson polynomials and Kloosterman sums. Zbl 1178.94220 Dobbertin, Hans; Felke, Patrick; Helleseth, Tor; Rosendahl, Petri 38 2006 Several classes of binary sequences with three-level autocorrelation. Zbl 0983.94026 Ding, Cunsheng; Helleseth, Tor; Lam, Kwok Yan 34 1999 The weight distributions of several classes of cyclic codes from APN monomials. Zbl 1360.94402 Li, Chunlei; Li, Nian; Helleseth, Tor; Ding, Cunsheng 33 2014 New families of binary sequences with optimal three-level autocorrelation. Zbl 1019.94009 Ding, Cunsheng; Helleseth, Tor; Martinsen, Halvard 32 2001 New permutation trinomials from Niho exponents over finite fields with even characteristic. Zbl 1402.05005 Li, Nian; Helleseth, Tor 32 2019 New binomial bent functions over the finite fields of odd characteristic. Zbl 1366.94774 Helleseth, Tor; Kholosha, Alexander 28 2010 An upper bound for Weil exponential sums over Galois rings and applications. Zbl 0853.11098 Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R. 28 1995 Generalized Hamming weights of linear codes. Zbl 0749.94012 Helleseth, Tor; Kløve, Torleiv; Ytrehus, Øyvind 28 1992 A characterization of codes meeting the Griesmer bound. Zbl 0491.94021 Helleseth, Tor 27 1981 New perfect nonlinear multinomials over \(\mathbb F_{p^{2k}}\) for any odd prime \(p\). Zbl 1177.94137 Budaghyan, Lilya; Helleseth, Tor 27 2008 On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\). Zbl 1130.11072 Helleseth, Tor; Kholosha, Alexander 27 2008 Ternary \(m\)-sequences with three-valued cross-correlation function: New decimations of Welch and Niho type. Zbl 1039.94004 Dobbertin, Hans; Helleseth, Tor; Kumar, P. Vijay; Martinsen, Halvard 26 2001 Several new classes of bent functions from Dillon exponents. Zbl 1364.94802 Li, Nian; Helleseth, Tor; Tang, Xiaohu; Kholosha, Alexander 26 2013 Generalized cyclotomic codes of length \(p_1^{e_1}\cdots p_t^{e_t}\). Zbl 0946.94026 Ding, Cunsheng; Helleseth, Tor 24 1999 Some classes of monomial complete permutation polynomials over finite fields of characteristic two. Zbl 1314.11073 Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing 24 2014 Optimal ternary cyclic codes with minimum distance four and five. Zbl 1354.94067 Li, Nian; Li, Chunlei; Helleseth, Tor; Ding, Cunsheng; Tang, Xiaohu 24 2014 Permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over the finite field \(\mathbb{F}_{p^{2 m}}\) of odd characteristic. Zbl 1315.05008 Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 24 2015 \(X^{2^l+1}+x+a\) and related affine polynomials over \(\mathrm{GF}(2^k\)). Zbl 1192.94098 Helleseth, Tor; Kholosha, Alexander 24 2010 On \(\mathbb{Z}_4\)-linear Goethals codes and Kloosterman sums. Zbl 0951.11026 Helleseth, Tor; Zinoviev, Victor 22 1999 The divisibility modulo 24 of Kloosterman sums on \(\text{GF}(2^m)\), \(m\) odd. Zbl 1112.11055 Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor 22 2007 On the covering radius of binary codes. Zbl 0379.94017 Helleseth, Tor; Kløve, Torleiv; Mykkeltveit, Johannes 21 1978 A new attack on the filter generator. Zbl 1316.94054 Rønjom, Sondre; Helleseth, Tor 21 2007 Large families of quaternary sequences with low correlation. Zbl 0943.94512 Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.; Hammons, A. Roger 19 1996 A class of binomial bent functions over the finite fields of odd characteristic. Zbl 1364.94801 Jia, Wenjie; Zeng, Xiangyong; Helleseth, Tor; Li, Chunlei 19 2012 Generic construction of bent functions and bent idempotents with any possible algebraic degrees. Zbl 1390.94954 Tang, Chunming; Zhou, Zhengchun; Qi, Yanfeng; Zhang, Xiaosong; Fan, Cuiling; Helleseth, Tor 18 2017 Proofs of two conjectures on ternary weakly regular bent functions. Zbl 1367.94474 Helleseth, Tor; Hollmann, Henk D. L.; Kholosha, Alexander; Wang, Zeying; Xiang, Qing 18 2009 Yoyo tricks with AES. Zbl 1420.94094 Rønjom, Sondre; Bardeh, Navid Ghaedi; Helleseth, Tor 17 2017 A characterization of some \(Q\)-ary codes \((q>(h-1)^ 2\), \(h\geq 3)\) meeting the Griesmer bound. Zbl 0786.05016 Hamada, Noboru; Helleseth, Tor 17 1993 New commutative semifields defined by new PN multinomials. Zbl 1291.12006 Budaghyan, Lilya; Helleseth, Tor 17 2011 On the Walsh transform of a class of functions from Niho exponents. Zbl 1364.94552 Li, Nian; Helleseth, Tor; Kholosha, Alexander; Tang, Xiaohu 17 2013 Propagation characteristics of \(x\mapsto x^{-1}\) and Kloosterman sums. Zbl 1148.11041 Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor 16 2007 On the covering radius of cyclic linear codes and arithmetic codes. Zbl 0576.94020 Helleseth, Tor 15 1985 Use of Gröbner bases to decode binary cyclic codes up to the true minimum distance. Zbl 0812.94019 Chen, Xuemin; Reed, I. S.; Helleseth, T.; Truong, T. K. 14 1994 Construction of de Bruijn sequences from LFSRs with reducible characteristic polynomials. Zbl 1359.94554 Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor; Li, Ming 14 2016 New nonbinary sequences with ideal two-level autocorrelation. Zbl 1062.94033 Helleseth, Tor; Gong, Guang 14 2002 A new construction of zero-difference balanced functions and its applications. Zbl 1364.94747 Cai, Han; Zeng, Xiangyong; Helleseth, Tor; Tang, Xiaohu; Yang, Yang 14 2013 Further results on Niho bent functions. Zbl 1364.94797 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem 13 2012 New pairs of \(m\)-sequences with 4-level cross-correlation. Zbl 1190.11011 Helleseth, Tor; Rosendahl, Petri 13 2005 New permutation quadrinomials over \(\mathbb{F}_{2^{2m}}\). Zbl 1380.05001 Tu, Ziran; Zeng, Xiangyong; Helleseth, Tor 12 2018 New generalized cyclotomic binary sequences of period \(p^2\). Zbl 1391.94718 Xiao, Zibi; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 12 2018 On the weight hierarchy of Kerdock codes over \(\mathbb{Z}_ 4\). Zbl 0859.94011 Yang, Kyeongcheol; Helleseth, Tor; Kumar, P. Vijay; Shanbhag, Abhijit G. 12 1996 Period-different \(m\)-sequences with at most four-valued cross correlation. Zbl 1367.94282 Helleseth, Tor; Hu, Lei; Kholosha, Alexander; Zeng, Xiangyong; Li, Nian; Jiang, Wenfeng 12 2009 New constructions of quadratic bent functions in polynomial form. Zbl 1360.94479 Li, Nian; Tang, Xiaohu; Helleseth, Tor 12 2014 Near-optimal partial Hadamard codebook construction using binary sequences obtained from quadratic residue mapping. Zbl 1360.94375 Hong, Seokbeom; Park, Hosung; No, Jong-Seon; Helleseth, Tor; Kim, Young-Sik 12 2014 The properties of a class of linear FSRs and their applications to the construction of nonlinear FSRs. Zbl 1360.94281 Li, Chaoyun; Zeng, Xiangyong; Helleseth, Tor; Li, Chunlei; Hu, Lei 12 2014 Linear complexity over \(\mathbb{F}_p\) and trace representation of Lempel-Cohn-Eastman sequences. Zbl 1063.94066 Helleseth, Tor; Kim, Sang-Hyo; No, Jong-Seon 12 2003 A class of de Bruijn sequences. Zbl 1359.94553 Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 12 2014 Cryptographically strong permutations from the butterfly structure. Zbl 1469.94254 Li, Kangquan; Li, Chunlei; Helleseth, Tor; Qu, Longjiang 12 2021 Characterization of \(m\)-sequences of lengths \(2^{2k}-1\) and \(2^{k}-1\) with three-valued cross correlation. Zbl 1177.94123 Helleseth, Tor; Kholosha, Alexander; Ness, Geir Jarle 12 2007 A new family of APN quadrinomials. Zbl 1453.94170 Budaghyan, Lilya; Helleseth, Tor; Kaleyski, Nikolay 12 2020 Some classes of complete permutation polynomials over \(\mathbb F_q\). Zbl 1325.05013 Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing 11 2015 A new family of ternary sequences with ideal two-level autocorrelation function. Zbl 1007.94013 Helleseth, Tor; Kumar, P. Vijay; Martinsen, Halvard 11 2001 On upper bounds for algebraic degrees of APN functions. Zbl 1395.94391 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Li, Nian; Sun, Bo 11 2018 Bounds on the minimum support weights. Zbl 0842.94021 Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir I.; Ytrehus, Øyvind 11 1995 Differential spectrum of Kasami power permutations over odd characteristic finite fields. Zbl 1432.94147 Yan, Haode; Zhou, Zhengchun; Weng, Jian; Wen, Jinming; Helleseth, Tor; Wang, Qi 11 2019 A new family of ternary almost perfect nonlinear mappings. Zbl 1323.94130 Ness, Geir Jarle; Helleseth, Tor 11 2007 Universal hash functions from exponential sums over finite fields and Galois rings. Zbl 1329.94062 Helleseth, Tor; Johansson, Thomas 10 1996 A family of \(m\)-sequences with five-valued cross correlation. Zbl 1367.94284 Johansen, Aina; Helleseth, Tor 10 2009 A new class of nonbinary codes meeting the Griesmer bound. Zbl 0786.94016 Hamada, Noboru; Helleseth, Tor; Ytrehus, Øyvind 10 1993 Divisibility properties of classical binary Kloosterman sums. Zbl 1229.11154 Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor 10 2009 Linear complexity over \(\mathbb F_p\) of Sidel’nikov sequences. Zbl 1293.94050 Helleseth, Tor; Maas, M.; Mathiassen, John Erik; Segers, T. 10 2004 On the correlation distribution of the Coulter-Matthews decimation. Zbl 1177.94124 Ness, Geir Jarle; Helleseth, Tor; Kholosha, Alexander 10 2006 The differential spectrum of a ternary power mapping. Zbl 1475.11218 Xia, Yongbo; Zhang, Xianglai; Li, Chunlei; Helleseth, Tor 10 2020 De Bruijn sequences, irreducible codes and cyclotomy. Zbl 0878.94046 Hauge, Erik R.; Helleseth, Tor 9 1996 Constructions of complete permutation polynomials. Zbl 1398.05012 Xu, Xiaofang; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor 9 2018 The weight hierarchy of the Kasami codes. Zbl 0846.94019 Helleseth, Tor; Kumar, P. Vijay 9 1995 Crosscorrelation of \(m\)-sequences, exponential sums, bent functions and Jacobsthal sums. Zbl 1235.11110 Helleseth, Tor; Kholosha, Alexander 9 2011 On cyclotomic generator of order \(r\). Zbl 1078.94511 Ding, Cunsheng; Helleseth, Tor 9 1998 Sequences, bent functions and Jacobsthal sums. Zbl 1257.11105 Helleseth, Tor; Kholosha, Alexander 9 2010 On the distance between APN functions. Zbl 1448.94308 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kaleyski, Nikolay 9 2020 On the lifted Zetterberg code. Zbl 1348.94090 Alahmadi, Adel; Alhazmi, Hussain; Helleseth, Tor; Hijazi, Rola; Muthana, Najat; Solé, Patrick 8 2016 Further results on \(m\)-sequences with five-valued cross correlation. Zbl 1367.94293 Johansen, Aina; Helleseth, Tor; Kholosha, Alexander 8 2009 Univariate Niho bent functions from o-polynomials. Zbl 1359.94930 Budaghyan, Lilya; Kholosha, Alexander; Carlet, Claude; Helleseth, Tor 8 2016 A characterization of some ternary codes meeting the Griesmer bound. Zbl 0815.94017 Hamada, Noboru; Helleseth, Tor 8 1994 The algebraic decoding of the \(\mathbb{Z}_ 4\)-linear Goethals code. Zbl 0857.94021 Helleseth, Tor; Kumar, P. Vijay 8 1995 Niho bent functions and Subiaco hyperovals. Zbl 1281.51006 Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem 8 2012 The differential spectrum of the power mapping \(x^{p^n-3}\). Zbl 1505.94082 Yan, Haode; Xia, Yongbo; Li, Chunlei; Helleseth, Tor; Xiong, Maosheng; Luo, Jinquan 8 2022 On the construction of \([q^ 4+q^ 2-q, 5, q^ 4-q^ 3+q^ 2-2q; q]\)-codes meeting the Griesmer bound. Zbl 0756.94007 Hamada, Noboru; Helleseth, Tor; Ytrehus, Øyvind 8 1992 Error-correction capability of binary linear codes. Zbl 1293.94111 Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir I. 8 2005 Cross correlation of \(m\)-sequences of different lengths. Zbl 1318.94059 Ness, Geir Jarle; Helleseth, Tor 8 2006 Planar functions and commutative semifields. Zbl 1274.94046 Budaghyan, Lilya; Helleseth, Tor 8 2010 Five-weight codes from three-valued correlation of M-sequences. Zbl 1528.94114 Shi, Minjia; Qian, Liqin; Helleseth, Tor; Solé, Patrick 2 2023 The differential spectrum of the power mapping \(x^{p^n-3}\). Zbl 1505.94082 Yan, Haode; Xia, Yongbo; Li, Chunlei; Helleseth, Tor; Xiong, Maosheng; Luo, Jinquan 8 2022 On the differential properties of the power mapping \(x^{p^m + 2}\). Zbl 1498.94074 Man, Yuying; Xia, Yongbo; Li, Chunlei; Helleseth, Tor 4 2022 The \(q\)-ary antiprimitive BCH codes. Zbl 1495.94138 Zhu, Hongwei; Shi, Minjia; Wang, Xiaoqiang; Helleseth, Tor 4 2022 Strongly regular graphs from reducible cyclic codes. Zbl 1501.94113 Shi, Minjia; Helleseth, Tor; Solé, Patrick 3 2022 Cryptographically strong permutations from the butterfly structure. Zbl 1469.94254 Li, Kangquan; Li, Chunlei; Helleseth, Tor; Qu, Longjiang 12 2021 Binary linear codes with few weights from two-to-one functions. Zbl 1475.94192 Li, Kangquan; Li, Chunlei; Helleseth, Tor; Qu, Longjiang 6 2021 The resolution of Niho’s last conjecture concerning sequences, codes, and Boolean functions. Zbl 1487.94183 Helleseth, Tor; Katz, Daniel J.; Li, Chunlei 1 2021 Pseudo-noise sequences. Zbl 1489.94080 Helleseth, Tor; Li, Chunlei 1 2021 A new family of APN quadrinomials. Zbl 1453.94170 Budaghyan, Lilya; Helleseth, Tor; Kaleyski, Nikolay 12 2020 The differential spectrum of a ternary power mapping. Zbl 1475.11218 Xia, Yongbo; Zhang, Xianglai; Li, Chunlei; Helleseth, Tor 10 2020 On the distance between APN functions. Zbl 1448.94308 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kaleyski, Nikolay 9 2020 New permutation trinomials from Niho exponents over finite fields with even characteristic. Zbl 1402.05005 Li, Nian; Helleseth, Tor 32 2019 Differential spectrum of Kasami power permutations over odd characteristic finite fields. Zbl 1432.94147 Yan, Haode; Zhou, Zhengchun; Weng, Jian; Wen, Jinming; Helleseth, Tor; Wang, Qi 11 2019 The linear complexity of generalized cyclotomic binary sequences of period \(p^n\). Zbl 1480.94023 Edemskiy, Vladimir; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor 7 2019 A class of new permutation trinomials. Zbl 1380.05002 Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 39 2018 New permutation quadrinomials over \(\mathbb{F}_{2^{2m}}\). Zbl 1380.05001 Tu, Ziran; Zeng, Xiangyong; Helleseth, Tor 12 2018 New generalized cyclotomic binary sequences of period \(p^2\). Zbl 1391.94718 Xiao, Zibi; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 12 2018 On upper bounds for algebraic degrees of APN functions. Zbl 1395.94391 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Li, Nian; Sun, Bo 11 2018 Constructions of complete permutation polynomials. Zbl 1398.05012 Xu, Xiaofang; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor 9 2018 A construction of multiple optimal ZCZ sequence sets with good cross correlation. Zbl 1390.94824 Zhou, Zhengchun; Zhang, Dan; Helleseth, Tor; Wen, Jinming 7 2018 The weight distribution of a class of two-weight linear codes derived from Kloosterman sums. Zbl 1412.94236 Tan, Pan; Zhou, Zhengchun; Tang, Deng; Helleseth, Tor 6 2018 A family of polyphase sequences with asymptotically optimal correlation. Zbl 1392.94913 Zhou, Zhengchun; Helleseth, Tor; Parampalli, Udaya 6 2018 A class of permutation quadrinomials. Zbl 1395.05005 Tu, Ziran; Zeng, Xiangyong; Helleseth, Tor 5 2018 Solomon W. Golomb – mathematician, engineer, and pioneer. Zbl 1392.94005 Gong, Guang; Helleseth, Tor; Kumar, P. Vijay 1 2018 Several classes of permutation trinomials from Niho exponents. Zbl 1369.11089 Li, Nian; Helleseth, Tor 39 2017 Generic construction of bent functions and bent idempotents with any possible algebraic degrees. Zbl 1390.94954 Tang, Chunming; Zhou, Zhengchun; Qi, Yanfeng; Zhang, Xiaosong; Fan, Cuiling; Helleseth, Tor 18 2017 Yoyo tricks with AES. Zbl 1420.94094 Rønjom, Sondre; Bardeh, Navid Ghaedi; Helleseth, Tor 17 2017 Investigations on periodic sequences with maximum nonlinear complexity. Zbl 1390.94818 Sun, Zhimin; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 5 2017 On the correlation distribution for a Niho decimation. Zbl 1390.94821 Xia, Yongbo; Li, Nian; Zeng, Xiangyong; Helleseth, Tor 5 2017 Some results on the known classes of quadratic APN functions. Zbl 1365.94409 Budaghyan, Lilya; Helleseth, Tor; Li, Nian; Sun, Bo 5 2017 Linear codes with two or three weights from weakly regular bent functions. Zbl 1359.94738 Tang, Chunming; Li, Nian; Qi, Yanfeng; Zhou, Zhengchun; Helleseth, Tor 84 2016 Linear codes with two or three weights from quadratic bent functions. Zbl 1405.94116 Zhou, Zhengchun; Li, Nian; Fan, Cuiling; Helleseth, Tor 76 2016 Construction of de Bruijn sequences from LFSRs with reducible characteristic polynomials. Zbl 1359.94554 Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor; Li, Ming 14 2016 On the lifted Zetterberg code. Zbl 1348.94090 Alahmadi, Adel; Alhazmi, Hussain; Helleseth, Tor; Hijazi, Rola; Muthana, Najat; Solé, Patrick 8 2016 Univariate Niho bent functions from o-polynomials. Zbl 1359.94930 Budaghyan, Lilya; Kholosha, Alexander; Carlet, Claude; Helleseth, Tor 8 2016 An open problem on the distribution of a Niho-type cross-correlation function. Zbl 1359.94561 Xia, Yongbo; Li, Nian; Zeng, Xiangyong; Helleseth, Tor 7 2016 On the lifted Melas code. Zbl 1344.94088 Alahmadi, Adel; Alhazmi, Hussain; Helleseth, Tor; Hijazi, Rola; Muthana, Najat; Solé, Patrick 2 2016 Permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over the finite field \(\mathbb{F}_{p^{2 m}}\) of odd characteristic. Zbl 1315.05008 Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 24 2015 Some classes of complete permutation polynomials over \(\mathbb F_q\). Zbl 1325.05013 Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing 11 2015 On o-equivalence of Niho bent functions. Zbl 1400.94199 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander 5 2015 Some new classes of cyclic codes with three or six weights. Zbl 1331.94076 Xia, Yongbo; Helleseth, Tor; Li, Chunlei 2 2015 A class of quaternary sequences with low correlation. Zbl 1361.94035 Li, Nian; Tang, Xiaohu; Helleseth, Tor 1 2015 The weight distributions of several classes of cyclic codes from APN monomials. Zbl 1360.94402 Li, Chunlei; Li, Nian; Helleseth, Tor; Ding, Cunsheng 33 2014 Some classes of monomial complete permutation polynomials over finite fields of characteristic two. Zbl 1314.11073 Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing 24 2014 Optimal ternary cyclic codes with minimum distance four and five. Zbl 1354.94067 Li, Nian; Li, Chunlei; Helleseth, Tor; Ding, Cunsheng; Tang, Xiaohu 24 2014 New constructions of quadratic bent functions in polynomial form. Zbl 1360.94479 Li, Nian; Tang, Xiaohu; Helleseth, Tor 12 2014 Near-optimal partial Hadamard codebook construction using binary sequences obtained from quadratic residue mapping. Zbl 1360.94375 Hong, Seokbeom; Park, Hosung; No, Jong-Seon; Helleseth, Tor; Kim, Young-Sik 12 2014 The properties of a class of linear FSRs and their applications to the construction of nonlinear FSRs. Zbl 1360.94281 Li, Chaoyun; Zeng, Xiangyong; Helleseth, Tor; Li, Chunlei; Hu, Lei 12 2014 A class of de Bruijn sequences. Zbl 1359.94553 Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor 12 2014 Some results on cross-correlation distribution between a \(p\)-ary \(m\)-sequence and its decimated sequences. Zbl 1360.94288 Xia, Yongbo; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor 7 2014 The proof of Lin’s conjecture via the decimation-Hadamard transform. Zbl 1360.94278 Hu, Honggang; Shao, Shuai; Gong, Guang; Helleseth, Tor 5 2014 New \(M\)-ary sequences with low autocorrelation from interleaved technique. Zbl 1321.94030 Li, Nian; Tang, Xiaohu; Helleseth, Tor 4 2014 Open problems on the cross-correlation of \(m\)-sequences. Zbl 1325.94108 Helleseth, Tor 2 2014 A note on cross-correlation distribution between a ternary \(m\)-sequence and its decimated sequence. Zbl 1355.94040 Xia, Yongbo; Helleseth, Tor; Wu, Gaofei 1 2014 Handbook of finite fields. Zbl 1319.11001 196 2013 Optimal ternary cyclic codes from monomials. Zbl 1364.94652 Ding, Cunsheng; Helleseth, Tor 55 2013 Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004 Li, Nian; Helleseth, Tor; Tang, Xiaohu 39 2013 Several new classes of bent functions from Dillon exponents. Zbl 1364.94802 Li, Nian; Helleseth, Tor; Tang, Xiaohu; Kholosha, Alexander 26 2013 On the Walsh transform of a class of functions from Niho exponents. Zbl 1364.94552 Li, Nian; Helleseth, Tor; Kholosha, Alexander; Tang, Xiaohu 17 2013 A new construction of zero-difference balanced functions and its applications. Zbl 1364.94747 Cai, Han; Zeng, Xiangyong; Helleseth, Tor; Tang, Xiaohu; Yang, Yang 14 2013 Bent functions and their connections to combinatorics. Zbl 1315.11099 Helleseth, Tor; Kholosha, Alexander 4 2013 Permutation polynomials with low differential uniformity over finite fields of odd characteristic. Zbl 1334.94083 Jia, Wenjie; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor; Hu, Lei 4 2013 A class of binomial bent functions over the finite fields of odd characteristic. Zbl 1364.94801 Jia, Wenjie; Zeng, Xiangyong; Helleseth, Tor; Li, Chunlei 19 2012 Further results on Niho bent functions. Zbl 1364.94797 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem 13 2012 Niho bent functions and Subiaco hyperovals. Zbl 1281.51006 Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem 8 2012 On the dual of certain ternary weakly regular bent functions. Zbl 1365.94671 Gong, Guang; Helleseth, Tor; Hu, Honggang; Kholosha, Alexander 5 2012 A three-valued Walsh transform from decimations of Helleseth-Gong sequences. Zbl 1365.94378 Gong, Guang; Helleseth, Tor; Hu, Honggang 3 2012 New three-valued Walsh transforms from decimations of Helleseth-Gong sequences. Zbl 1268.94021 Gong, Guang; Helleseth, Tor; Hu, Honggang; Li, Chunlei 3 2012 New commutative semifields defined by new PN multinomials. Zbl 1291.12006 Budaghyan, Lilya; Helleseth, Tor 17 2011 Crosscorrelation of \(m\)-sequences, exponential sums, bent functions and Jacobsthal sums. Zbl 1235.11110 Helleseth, Tor; Kholosha, Alexander 9 2011 Constant composition codes as subcodes of cyclic codes. Zbl 1365.94560 Luo, Jinquan; Helleseth, Tor 6 2011 Fast discrete Fourier spectra attacks on stream ciphers. Zbl 1365.94379 Gong, Guang; Rønjom, Sondre; Helleseth, Tor; Hu, Honggang 6 2011 On isotopisms of commutative presemifields and CCZ-equivalence of functions. Zbl 1245.94069 Budaghyan, Lilya; Helleseth, Tor 6 2011 Several classes of codes and sequences derived from a \(\mathbb Z_4\)-valued quadratic form. Zbl 1365.94522 Li, Nian; Tang, Xiaohu; Helleseth, Tor 3 2011 Generic construction of quaternary sequences of period \(2N\) with low correlation from quaternary sequences of odd period \(N\). Zbl 1366.94459 Tang, Xiaohu; Helleseth, Tor 1 2011 New binomial bent functions over the finite fields of odd characteristic. Zbl 1366.94774 Helleseth, Tor; Kholosha, Alexander 28 2010 \(X^{2^l+1}+x+a\) and related affine polynomials over \(\mathrm{GF}(2^k\)). Zbl 1192.94098 Helleseth, Tor; Kholosha, Alexander 24 2010 Sequences, bent functions and Jacobsthal sums. Zbl 1257.11105 Helleseth, Tor; Kholosha, Alexander 9 2010 Planar functions and commutative semifields. Zbl 1274.94046 Budaghyan, Lilya; Helleseth, Tor 8 2010 Proofs of two conjectures on ternary weakly regular bent functions. Zbl 1367.94474 Helleseth, Tor; Hollmann, Henk D. L.; Kholosha, Alexander; Wang, Zeying; Xiang, Qing 18 2009 Period-different \(m\)-sequences with at most four-valued cross correlation. Zbl 1367.94282 Helleseth, Tor; Hu, Lei; Kholosha, Alexander; Zeng, Xiangyong; Li, Nian; Jiang, Wenfeng 12 2009 A family of \(m\)-sequences with five-valued cross correlation. Zbl 1367.94284 Johansen, Aina; Helleseth, Tor 10 2009 Divisibility properties of classical binary Kloosterman sums. Zbl 1229.11154 Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor 10 2009 Further results on \(m\)-sequences with five-valued cross correlation. Zbl 1367.94293 Johansen, Aina; Helleseth, Tor; Kholosha, Alexander 8 2009 A new optimal quaternary sequence family of length \(2(2^{n}-1)\) obtained from the orthogonal transformation of families \({\mathcal{B}}\) and \({\mathcal{C}}\). Zbl 1183.94008 Tang, Xiaohu; Helleseth, Tor; Fan, Pingzhi 5 2009 Two new families of optimal binary sequences obtained from quaternary sequences. Zbl 1367.94296 Tang, Xiaohu; Helleseth, Tor; Hu, Lei; Jiang, Wenfeng 4 2009 New perfect nonlinear multinomials over \(\mathbb F_{p^{2k}}\) for any odd prime \(p\). Zbl 1177.94137 Budaghyan, Lilya; Helleseth, Tor 27 2008 On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\). Zbl 1130.11072 Helleseth, Tor; Kholosha, Alexander 27 2008 The correlation distribution of quaternary sequences of period \(2(2^{n-1)}\). Zbl 1328.94057 Johansen, Aina; Helleseth, Tor; Tang, Xiaohu 7 2008 On a family of perfect nonlinear binomials. Zbl 1198.94098 Helleseth, Tor; Kyureghyan, Gohar; Ness, Geir Jarle; Pott, Alexander 5 2008 Cascade jump controlled sequence generator and Pomaranch stream cipher. Zbl 1177.94152 Jansen, Cees J. A.; Helleseth, Tor; Kholosha, Alexander 3 2008 On cosets of weight 4 of \(\text{BCH}(2^m,8)\), \(m\) even, and exponential sums. Zbl 1245.11123 Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor 3 2008 \(m\)-sequences of lengths \(2^{2k}-1\) and \(2^k-1\) with at most four-valued cross correlation. Zbl 1206.94036 Helleseth, Tor; Kholosha, Alexander 2 2008 On the correlation distribution of Kerdock sequences. Zbl 1206.94044 Tang, Xiaohu; Helleseth, Tor; Johansen, Aina 1 2008 A generic construction of Cartesian authentication codes. Zbl 1310.94178 Ding, Cunsheng; Helleseth, Tor; Kløve, Torleiv; Wang, Xuesong 62 2007 The divisibility modulo 24 of Kloosterman sums on \(\text{GF}(2^m)\), \(m\) odd. Zbl 1112.11055 Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor 22 2007 A new attack on the filter generator. Zbl 1316.94054 Rønjom, Sondre; Helleseth, Tor 21 2007 Propagation characteristics of \(x\mapsto x^{-1}\) and Kloosterman sums. Zbl 1148.11041 Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor 16 2007 Characterization of \(m\)-sequences of lengths \(2^{2k}-1\) and \(2^{k}-1\) with three-valued cross correlation. Zbl 1177.94123 Helleseth, Tor; Kholosha, Alexander; Ness, Geir Jarle 12 2007 ...and 146 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,256 Authors 77 Helleseth, Tor 68 Zeng, Xiangyong 59 Cao, Xiwang 38 Li, Nian 37 Hu, Lei 33 Ding, Cunsheng 31 Yue, Qin 29 Mesnager, Sihem 29 Tang, Chunming 23 Carlet, Claude 22 Solé, Patrick 21 Hamada, Noboru 21 Li, Chunlei 21 Tang, Xiaohu 21 Zhou, Zhengchun 20 Meidl, Wilfried 20 Pott, Alexander 20 Qu, Longjiang 19 Özbudak, Ferruh 19 Xu, Guangkui 19 Yan, Haode 18 Edemskiĭ, Vladimir Anatol’evich 18 Lin, Dongdai 18 Xu, Shanding 18 Zha, Zhengbang 17 Fu, Fangwei 17 Hou, Xiang-Dong 17 Li, Chengju 16 Chen, Zhixiong 16 Heng, Ziling 16 Luo, Gaojun 16 Zheng, Dabin 15 Bartoli, Daniele 15 Gong, Guang 14 Li, Kangquan 14 Qi, Yanfeng 14 Storme, Leo 13 Pasalic, Enes 13 Tu, Ziran 13 Wang, Qiang (Steven) 13 Yan, Tongjiang 13 Zinov’ev, Viktor Aleksandrovich 12 Budaghyan, Lilya 12 Fan, Cuiling 12 Wang, Qiuyan 12 Xiang, Can 12 Yang, Shudi 11 Du, Xiaoni 11 Feng, Keqin 11 Feng, Tao 11 Stănică, Pantelimon 11 Tang, Deng 11 Wang, Xiaoqiang 10 Göloğlu, Faruk 10 Jiang, Yupeng 10 Ke, Pinhui 10 Qi, Wenfeng 10 Vega, Gerardo 10 Winterhof, Arne 10 Yuan, Pingzhi 9 Kaleyski, Nikolay S. 9 Ling, San 9 Liu, Hongwei 9 Shi, Minjia 9 Wang, Qi 9 Wu, Chenhuang 9 Xia, Yongbo 8 Çeşmelioğlu, Ayça 8 Li, Chao 8 Li, Xia 8 Liao, Qunying 8 Peng, Jie 8 Tan, Yin 8 Xiang, Qing 8 Xiao, Guozhen 8 Zheng, Lijing 8 Zhou, Yue 8 Zhu, Shixin 7 Kan, Haibin 7 Katz, Daniel J. 7 Li, Fei 7 Liu, Qian 7 Wang, Lisha 7 Wu, Yansheng 7 Xu, Yunge 7 Yang, Yang 7 Yu, Long 6 Abdukhalikov, Kanat S. 6 Bierbrauer, Jürgen 6 Charpin, Pascale 6 Cohen, Gérard Denis 6 Feng, Rongquan 6 Hu, Zhao 6 Hyun, Jong-Yoon 6 Kholosha, Alexander 6 Kim, Kwang Ho 6 Kløve, Torleiv 6 Kyureghyan, Gohar M. 6 Langevin, Philippe 6 Liu, Zihui ...and 1,156 more Authors all top 5 Cited in 134 Serials 223 Finite Fields and their Applications 222 Designs, Codes and Cryptography 154 Cryptography and Communications 92 Discrete Mathematics 82 Advances in Mathematics of Communications 62 Applicable Algebra in Engineering, Communication and Computing 35 Discrete Applied Mathematics 21 Journal of Combinatorial Theory. 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English Series 1 Journal of Computer Science and Technology 1 Publicacions Matemàtiques 1 Aequationes Mathematicae 1 Journal of Knot Theory and its Ramifications 1 The Australasian Journal of Combinatorics 1 The Journal of Analysis ...and 34 more Serials all top 5 Cited in 31 Fields 1,001 Information and communication theory, circuits (94-XX) 727 Number theory (11-XX) 265 Combinatorics (05-XX) 90 Geometry (51-XX) 78 Field theory and polynomials (12-XX) 50 Order, lattices, ordered algebraic structures (06-XX) 45 Algebraic geometry (14-XX) 43 Computer science (68-XX) 33 Commutative algebra (13-XX) 19 Group theory and generalizations (20-XX) 15 Numerical analysis (65-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Statistics (62-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Quantum theory (81-XX) 5 Associative rings and algebras (16-XX) 5 Probability theory and stochastic processes (60-XX) 4 Nonassociative rings and algebras (17-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) Citations by Year