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Found 112 Documents (Results 1–100)

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Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander

On o-equivalence of Niho bent functions. (English) Zbl 1400.94199

Koç, Çetin Kaya (ed.) et al., Arithmetic of finite fields. 5th international workshop, WAIFI 2014, Gebze, Turkey, September 27–28, 2014. Revised selected papers. Berlin: Springer (ISBN 978-3-319-16276-8/pbk). Lecture Notes in Computer Science 9061, 155-168 (2015).
MSC:  94D10 94A60
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\textit{L. Budaghyan} et al., Lect. Notes Comput. Sci. 9061, 155--168 (2015; Zbl 1400.94199)
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Xia, Yongbo; Helleseth, Tor; Wu, Gaofei

A note on cross-correlation distribution between a ternary \(m\)-sequence and its decimated sequence. (English) Zbl 1355.94040

Schmidt, Kai-Uwe (ed.) et al., Sequences and their applications – SETA 2014. 8th international conference, Melbourne, VIC, Australia, November 24–28, 2014. Proceedings. Cham: Springer (ISBN 978-3-319-12324-0/pbk; 978-3-319-12325-7/ebook). Lecture Notes in Computer Science 8865, 249-259 (2014).
MSC:  94A55 11T71
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\textit{Y. Xia} et al., Lect. Notes Comput. Sci. 8865, 249--259 (2014; Zbl 1355.94040)
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Helleseth, Tor

Open problems on the cross-correlation of \(m\)-sequences. (English) Zbl 1325.94108

Koç, Çetin Kaya (ed.), Open problems in mathematics and computational science. Based on the presentations at the conference, Istanbul, Turkey, September 18–20, 2013. Cham: Springer (ISBN 978-3-319-10682-3/hbk; 978-3-319-10683-0/ebook). 163-179 (2014).
Reviewer: Wilfried Meidl (Linz)
MSC:  94A55 94A60 11T23
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\textit{T. Helleseth}, in: Open problems in mathematics and computational science. Based on the presentations at the conference, Istanbul, Turkey, September 18--20, 2013. Cham: Springer. 163--179 (2014; Zbl 1325.94108)
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Li, Chunlei; Helleseth, Tor

Binary quasi-perfect linear codes from APN quadratic functions. (English) Zbl 1433.94125

Optimal codes and related topics, OC 2013. Proceedings of the seventh international workshop, Albena, Bulgaria, September 6–12, 2013. Dedicated to Stefan Dodunekov (1945–2012). Sofia: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences. 146-151 (2013).
MSC:  94B05 94A55
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\textit{C. Li} and \textit{T. Helleseth}, in: Optimal codes and related topics, OC 2013. Proceedings of the seventh international workshop, Albena, Bulgaria, September 6--12, 2013. Dedicated to Stefan Dodunekov (1945--2012). Sofia: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences. 146--151 (2013; Zbl 1433.94125)
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Helleseth, Tor; Kholosha, Alexander

Bent functions and their connections to combinatorics. (English) Zbl 1315.11099

Blackburn, Simon R. (ed.) et al., Surveys in combinatorics 2013. Papers based on the 24th British combinatorial conference, London, UK, June 30 – July 5, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-65195-1/pbk; 978-1-139-50674-8/ebook). London Mathematical Society Lecture Note Series 409, 91-125 (2013).
Reviewer: Wilfried Meidl (Linz)
MSC:  11T06 05B10 05E30 06E30 94A60 94B25
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\textit{T. Helleseth} and \textit{A. Kholosha}, Lond. Math. Soc. Lect. Note Ser. 409, 91--125 (2013; Zbl 1315.11099)
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Mullen, Gary L. (ed.); Panario, Daniel (ed.)
[Ball, L. Simeon; Blake, Ian; Blokhuis, Aart; Cioaba, Sebastian M.; Colbourn, Charles J.; Ding, Jintai; Dinitz, Jeffrey H.; Dumas, Jean-Guillaume; Ebert, Gary; Effinger, Gove; Enge, Andreas; Fan, Haining; Gong, Guang; Goss, David; Gupta, Kishan Chand; Hasan, M. Anwarul; Hinkelmann, Franziska; Hirschfeld, James W. P.; Huffman, W. Cary; Jedwab, Jonathan; Jungnickel, Dieter; Laubenbacher, Reinhard; Litsyn, Simon; Menezes, Alfred; Mullen, Gary L.; Murty, Kumar; Murty, M. Ram; Niederreiter, Harald; Pernet, Clément; Pott, Alexander; Roetteler, Martin; Schmidt, Kai-Uwe; Stevens, Brett; Storme, Leo; Takeshita, Oscar; Thas, Joseph A.; Thériault, Nicolas; Wan, Zhe-Xian; Winterhof, Arne; Gow, Roderick; Panario, Daniel; Thomson, David; Yucas, Joseph L.; Kyuregyan, Melsik; Ahmadi, Omran; Cohen, Stephen D.; Hou, Xiang-dong; Voloch, Jose Felipe; Gao, Shuhong; Liao, Qunying; Hachenberger, Dirk; Evans, Ronald J.; Rojas-Leon, Antonio; Ostafe, Alina; Garaev, Moubariz Z.; Fitzgerald, Robert; Castro, Francis; Rubio, Ivelisse; Lidl, Rudolf; Zieve, Michael E.; Carlet, Claude; Charpin, Pascale; Kholosha, Alexander; Coulter, Robert; Wang, Qiang; Fried, Michael D.; McGuire, Gary; Helleseth, Tor; Meidl, Wilfried; Shparlinski, Igor; Doche, Christophe; Giesbrecht, Mark; von zur Gathen, Joachim; Kaltofen, Erich; Lecerf, Gregoire; Odlyzko, Andrew; de Smit, Bart; Lenstra, Hendrik; Silverman, Joseph; Bernstein, Daniel J.; Lange, Tanja; Jacobson, Michael John jun.; Scheidler, Renate; Garcia, Arnaldo; Stichtenoth, Henning; Fu, Lei; Blache, Regis; Wan, Daqing]

Handbook of finite fields. (English) Zbl 1319.11001

Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4398-7378-6/hbk; 978-1-4398-7382-3/ebook). xxxv, 1033 p. (2013).
Reviewer: Olaf Ninnemann (Berlin)
MSC:  11-00 11Txx 12E20 05B20 05C50 11G20 14G15 94A55 94A60
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\textit{G. L. Mullen} (ed.) and \textit{D. Panario} (ed.), Handbook of finite fields. Boca Raton, FL: CRC Press (2013; Zbl 1319.11001)
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Gong, Guang; Helleseth, Tor; Hu, Honggang; Li, Chunlei

New three-valued Walsh transforms from decimations of Helleseth-Gong sequences. (English) Zbl 1268.94021

Helleseth, Tor (ed.) et al., Sequences and their applications – SETA 2012. 7th international conference, Waterloo, ON, Canada, June 4–8, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-30614-3/pbk). Lecture Notes in Computer Science 7280, 327-337 (2012).
MSC:  94A55
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\textit{G. Gong} et al., Lect. Notes Comput. Sci. 7280, 327--337 (2012; Zbl 1268.94021)
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Helleseth, Tor (ed.); Jedwab, Jonathan (ed.)

Sequences and their applications – SETA 2012. 7th international conference, Waterloo, ON, Canada, June 4–8, 2012. Proceedings. (English) Zbl 1245.94009

Lecture Notes in Computer Science 7280. Berlin: Springer (ISBN 978-3-642-30614-3/pbk). xii, 339 p. (2012).
MSC:  94-06 94A55 00B25
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\textit{T. Helleseth} (ed.) and \textit{J. Jedwab} (ed.), Sequences and their applications -- SETA 2012. 7th international conference, Waterloo, ON, Canada, June 4--8, 2012. Proceedings. Berlin: Springer (2012; Zbl 1245.94009)
Full Text: DOI
Helleseth, Tor; Kholosha, Alexander

Sequences, bent functions and Jacobsthal sums. (English) Zbl 1257.11105

Carlet, Claude (ed.) et al., Sequences and their applications – SETA 2010. 6th international conference, Paris, France, September 13–17, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15873-5/pbk). Lecture Notes in Computer Science 6338, 416-429 (2010).
MSC:  11T24 06E30 11T06
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\textit{T. Helleseth} and \textit{A. Kholosha}, Lect. Notes Comput. Sci. 6338, 416--429 (2010; Zbl 1257.11105)
Full Text: DOI arXiv
Hasan, M. Anwar (ed.); Helleseth, Tor (ed.)

Arithmetic of finite fields. Third international workshop, WAIFI 2010, Istanbul, Turkey, June 27–30, 2010. Proceedings. (English) Zbl 1191.11003

Lecture Notes in Computer Science 6087. Berlin: Springer (ISBN 978-3-642-13796-9/pbk). x, 269 p. (2010).
MSC:  11-06 11Txx 00B25
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\textit{M. A. Hasan} (ed.) and \textit{T. Helleseth} (ed.), Arithmetic of finite fields. Third international workshop, WAIFI 2010, Istanbul, Turkey, June 27--30, 2010. Proceedings. Berlin: Springer (2010; Zbl 1191.11003)
Full Text: DOI
Helleseth, Tor

Linear and nonlinear sequences and applications to stream ciphers. (English) Zbl 1180.94043

Luengo, Ignacio (ed.), Recent trends in cryptography. UIMP-RSME Santaló summer school, July 11–15, 2005, Universidad Internacional Menéndez Pelayo, Santander, Spain. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (ISBN 978-0-8218-3984-3/pbk). Contemporary Mathematics 477, 21-45 (2009).
MSC:  94A55 94A60 94B05
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\textit{T. Helleseth}, Contemp. Math. 477, 21--45 (2009; Zbl 1180.94043)
Budaghyan, Lilya; Helleseth, Tor

New perfect nonlinear multinomials over \(\mathbb F_{p^{2k}}\) for any odd prime \(p\). (English) Zbl 1177.94137

Golomb, Solomon W. (ed.) et al., Sequences and their applications – SETA 2008. 5th international conference, Lexington, KY, USA, September 14–18, 2008 Proceedings. Berlin: Springer (ISBN 978-3-540-85911-6/pbk). Lecture Notes in Computer Science 5203, 403-414 (2008).
MSC:  94A60 11T71 12K10
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\textit{L. Budaghyan} and \textit{T. Helleseth}, Lect. Notes Comput. Sci. 5203, 403--414 (2008; Zbl 1177.94137)
Full Text: DOI
Tang, Xiaohu; Helleseth, Tor; Johansen, Aina

On the correlation distribution of Kerdock sequences. (English) Zbl 1206.94044

Golomb, Solomon W. (ed.) et al., Sequences and their applications – SETA 2008. 5th international conference, Lexington, KY, USA, September 14–18, 2008 Proceedings. Berlin: Springer (ISBN 978-3-540-85911-6/pbk). Lecture Notes in Computer Science 5203, 121-129 (2008).
MSC:  94A55
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\textit{X. Tang} et al., Lect. Notes Comput. Sci. 5203, 121--129 (2008; Zbl 1206.94044)
Full Text: DOI
Helleseth, Tor; Kholosha, Alexander

\(m\)-sequences of lengths \(2^{2k}-1\) and \(2^k-1\) with at most four-valued cross correlation. (English) Zbl 1206.94036

Golomb, Solomon W. (ed.) et al., Sequences and their applications – SETA 2008. 5th international conference, Lexington, KY, USA, September 14–18, 2008 Proceedings. Berlin: Springer (ISBN 978-3-540-85911-6/pbk). Lecture Notes in Computer Science 5203, 106-120 (2008).
MSC:  94A55
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\textit{T. Helleseth} and \textit{A. Kholosha}, Lect. Notes Comput. Sci. 5203, 106--120 (2008; Zbl 1206.94036)
Full Text: DOI
Helleseth, Tor; Kyureghyan, Gohar; Ness, Geir Jarle; Pott, Alexander

On a family of perfect nonlinear binomials. (English) Zbl 1198.94098

Preneel, Bart (ed.) et al., Boolean functions in cryptology and information security. Selected papers based on the presentations at the NATO-Russia Advanced Study Institute on Boolean functions in cryptology and information security, Zvenigorod, Russia, September 8–18, 2007. Amsterdam: IOS Press (ISBN 978-1-58603-878-6/hbk). NATO Science for Peace and Security Series D: Information and Communication Security 18, 126-138 (2008).
MSC:  94A60
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\textit{T. Helleseth} et al., NATO Sci. Peace Secur. Ser. D, Inf. Commun. Secur. 18, 126--138 (2008; Zbl 1198.94098)
Full Text: DOI
Rønjom, Sondre; Gong, Guang; Helleseth, Tor

A survey of recent attacks on the filter generator. (English) Zbl 1195.94069

Boztaş, Serdar (ed.) et al., Applied algebra, algebraic algorithms and error-correcting codes. 17th international symposium, AAECC-17, Bangalore, India, December 16–20, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-77223-1/pbk). Lecture Notes in Computer Science 4851, 7-17 (2007).
MSC:  94A60 94A55
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\textit{S. Rønjom} et al., Lect. Notes Comput. Sci. 4851, 7--17 (2007; Zbl 1195.94069)
Full Text: DOI
Rønjom, Sondre; Gong, Guang; Helleseth, Tor

On attacks on filtering generators using linear subspace structures. (English) Zbl 1154.94360

Golomb, Solomon W. (ed.) et al., Sequences, subsequences, and consequences. International workshop, SSC 2007, Los Angeles, CA, USA, May 31–June 2, 2007. Revised invited papers. Berlin: Springer (ISBN 978-3-540-77403-7/pbk). Lecture Notes in Computer Science 4893, 204-217 (2007).
MSC:  94A55 94A60
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\textit{S. Rønjom} et al., Lect. Notes Comput. Sci. 4893, 204--217 (2007; Zbl 1154.94360)
Full Text: DOI
Rønjom, Sondre; Helleseth, Tor

The linear vector space spanned by the nonlinear filter generator. (English) Zbl 1154.94361

Golomb, Solomon W. (ed.) et al., Sequences, subsequences, and consequences. International workshop, SSC 2007, Los Angeles, CA, USA, May 31–June 2, 2007. Revised invited papers. Berlin: Springer (ISBN 978-3-540-77403-7/pbk). Lecture Notes in Computer Science 4893, 169-183 (2007).
MSC:  94A55 94A60
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\textit{S. Rønjom} and \textit{T. Helleseth}, Lect. Notes Comput. Sci. 4893, 169--183 (2007; Zbl 1154.94361)
Full Text: DOI
Tang, Xiaohu; Helleseth, Tor; Hu, Lei; Jiang, Wenfeng

A new family of Gold-like sequences. (English) Zbl 1154.94363

Golomb, Solomon W. (ed.) et al., Sequences, subsequences, and consequences. International workshop, SSC 2007, Los Angeles, CA, USA, May 31–June 2, 2007. Revised invited papers. Berlin: Springer (ISBN 978-3-540-77403-7/pbk). Lecture Notes in Computer Science 4893, 62-69 (2007).
MSC:  94A55
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\textit{X. Tang} et al., Lect. Notes Comput. Sci. 4893, 62--69 (2007; Zbl 1154.94363)
Full Text: DOI
Helleseth, Tor; Kholosha, Alexander

On the dual of monomial quadratic \(p\)-ary bent functions. (English) Zbl 1154.94395

Golomb, Solomon W. (ed.) et al., Sequences, subsequences, and consequences. International workshop, SSC 2007, Los Angeles, CA, USA, May 31–June 2, 2007. Revised invited papers. Berlin: Springer (ISBN 978-3-540-77403-7/pbk). Lecture Notes in Computer Science 4893, 50-61 (2007).
MSC:  94A60 06E30
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\textit{T. Helleseth} and \textit{A. Kholosha}, Lect. Notes Comput. Sci. 4893, 50--61 (2007; Zbl 1154.94395)
Full Text: DOI
Golomb, Solomon W. (ed.); Gong, Guang (ed.); Helleseth, Tor (ed.); Song, Hong-Yeop (ed.)

Sequences, subsequences, and consequences. International workshop, SSC 2007, Los Angeles, CA, USA, May 31–June 2, 2007. Revised invited papers. (English) Zbl 1130.94005

Lecture Notes in Computer Science 4893. Berlin: Springer (ISBN 978-3-540-77403-7/pbk). x, 219 p. (2007).
MSC:  94-06 94A55 00B25
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\textit{S. W. Golomb} (ed.) et al., Sequences, subsequences, and consequences. International workshop, SSC 2007, Los Angeles, CA, USA, May 31--June 2, 2007. Revised invited papers. Berlin: Springer (2007; Zbl 1130.94005)
Full Text: DOI
Rønjom, Sondre; Helleseth, Tor

Attacking the filter generator over \(\mathrm{GF}(2^m)\). (English) Zbl 1248.94091

Carlet, Claude (ed.) et al., Arithmetic of finite fields. First international workshop, WAIFI 2007, Madrid, Spain, June 21–22, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-73073-6/pbk). Lecture Notes in Computer Science 4547, 264-275 (2007).
MSC:  94A60 68Q25 94A55 11T71
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\textit{S. Rønjom} and \textit{T. Helleseth}, Lect. Notes Comput. Sci. 4547, 264--275 (2007; Zbl 1248.94091)
Full Text: DOI
Helleseth, Tor; Jansen, Cees J. A.; Khazaei, Shahram; Kholosha, Alexander

Security of jump controlled sequence generators for stream ciphers. (English) Zbl 1152.94386

Gong, Guang (ed.) et al., Sequences and their applications – SETA 2006. 4th international conference, Beijing, China, September 24–28, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-44523-4/pbk). Lecture Notes in Computer Science 4086, 141-152 (2006).
MSC:  94A55 94A60
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\textit{T. Helleseth} et al., Lect. Notes Comput. Sci. 4086, 141--152 (2006; Zbl 1152.94386)
Full Text: DOI
Zinoviev, V. A.; Helleseth, T.; Charpin, P.

On cosets of weight 4 of binary BCH codes with minimum distance 8 and exponential sums. (English. Russian original) Zbl 1102.94028

Probl. Inf. Transm. 41, No. 4, 331-348 (2005); translation from Probl. Peredachi Inf. 2005, No. 4, 36-56 (2005).
MSC:  94B15 11T23 11T71
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\textit{V. A. Zinoviev} et al., Probl. Inf. Transm. 41, No. 4, 331--348 (2005; Zbl 1102.94028); translation from Probl. Peredachi Inf. 2005, No. 4, 36--56 (2005)
Full Text: DOI
Molland, Håvard; Helleseth, Tor

An improved correlation attack against irregular clocked and filtered keystream generators. (English) Zbl 1104.94031

Franklin, Matt (ed.), Advances in cryptology – CRYPTO 2004. 24th annual international cryptology conference, Santa Barbara, California, USA, August 15–19, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22668-0/pbk). Lecture Notes in Computer Science 3152, 373-389 (2004).
MSC:  94A60 94A55
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\textit{H. Molland} and \textit{T. Helleseth}, Lect. Notes Comput. Sci. 3152, 373--389 (2004; Zbl 1104.94031)
Full Text: DOI
Molland, Håvard; Mathiassen, John Erik; Helleseth, Tor

Improved fast correlation attack using low rate codes. (English) Zbl 1123.94354

Paterson, Kenneth G. (ed.), Cryptography and coding. 9th IMA international conference, Cirencester, UK, December 16–18, 2003. Proceedings. Berlin: Springer (ISBN 3-540-20663-9/pbk). Lect. Notes Comput. Sci. 2898, 67-81 (2003).
MSC:  94A60 94A55
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\textit{H. Molland} et al., Lect. Notes Comput. Sci. 2898, 67--81 (2003; Zbl 1123.94354)
Full Text: DOI
Schaathun, Hans Georg; Helleseth, Tor

Separating and intersecting properties of BCH and kasami codes. (English) Zbl 1123.94406

Paterson, Kenneth G. (ed.), Cryptography and coding. 9th IMA international conference, Cirencester, UK, December 16–18, 2003. Proceedings. Berlin: Springer (ISBN 3-540-20663-9/pbk). Lect. Notes Comput. Sci. 2898, 52-65 (2003).
MSC:  94B60 94A62
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\textit{H. G. Schaathun} and \textit{T. Helleseth}, Lect. Notes Comput. Sci. 2898, 52--65 (2003; Zbl 1123.94406)
Full Text: DOI
Kim, Young-Sik; Jang, Ji-Woong; No, Jong-Seon; Helleseth, Tor

On \(p\)-ary bent functions defined on finite fields. (English) Zbl 1027.94520

No, Jong-Seon (ed.) et al., Mathematical properties of sequences and other combinatorial structures. Selected papers presented at the conference, Los Angeles, CA, USA, May 30-June 1, 2002. Dedicated to the 70th birthday of Solomon W. Golomb. Dordrecht: Kluwer Academic Publishers. Kluwer Int. Ser. Eng. Comput. Sci. 726, 65-76 (2003).
MSC:  94A60 11T71 06E30 11B50 94A55
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\textit{Y.-S. Kim} et al., Kluwer Int. Ser. Eng. Comput. Sci. 726, 65--76 (2003; Zbl 1027.94520)
Helleseth, Tor

Pairs of \(M\)-sequences with a six-valued cross-correlation. (English) Zbl 1027.94518

No, Jong-Seon (ed.) et al., Mathematical properties of sequences and other combinatorial structures. Selected papers presented at the conference, Los Angeles, CA, USA, May 30-June 1, 2002. Dedicated to the 70th birthday of Solomon W. Golomb. Dordrecht: Kluwer Academic Publishers. Kluwer Int. Ser. Eng. Comput. Sci. 726, 1-6 (2003).
MSC:  94A55 11T71
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\textit{T. Helleseth}, Kluwer Int. Ser. Eng. Comput. Sci. 726, 1--6 (2003; Zbl 1027.94518)
Helleseth, Tor; Yang, Kyeongcheol

On binary sequences of period \(n=p^m -1\) with optimal autocorrelation. (English) Zbl 1030.94027

Helleseth, Tor (ed.) et al., Sequences and their applications. Proceedings of the 2nd international conference (SETA’01), Bergen, Norway, May 13-17, 2001. London: Springer. Discrete Mathematics and Theoretical Computer Science. 209-217 (2002).
MSC:  94A55 11T22 62M10
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\textit{T. Helleseth} and \textit{K. Yang}, in: Sequences and their applications. Proceedings of the 2nd international conference (SETA'01), Bergen, Norway, May 13--17, 2001. London: Springer. 209--217 (2002; Zbl 1030.94027)
Helleseth, Tor

On the crosscorrelation of \(m\)-sequences and related sequences with ideal autocorrelation. (English) Zbl 1029.94017

Helleseth, Tor (ed.) et al., Sequences and their applications. Proceedings of the 2nd international conference (SETA’01), Bergen, Norway, May 13-17, 2001. London: Springer. Discrete Mathematics and Theoretical Computer Science. 34-45 (2002).
MSC:  94A55 11T71
PDFBibTeX XMLCite
\textit{T. Helleseth}, in: Sequences and their applications. Proceedings of the 2nd international conference (SETA'01), Bergen, Norway, May 13--17, 2001. London: Springer. 34--45 (2002; Zbl 1029.94017)

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