Edit Profile (opens in new tab) Gildea, Joe Co-Author Distance Author ID: gildea.joe Published as: Gildea, Joe External Links: MGP Documents Indexed: 57 Publications since 2008, including 3 Additional arXiv Preprints Co-Authors: 14 Co-Authors with 38 Joint Publications 129 Co-Co-Authors all top 5 Co-Authors 18 single-authored 19 Kaya, Abidin 18 Korban, Adrian 12 Tylyshchak, Alexander A. 10 Dougherty, Steven T. 10 Yildiz, Bahattin 9 Roberts, Adam Michael 6 Taylor, Rhian 4 Creedon, Leo 1 Balogh, Zsolt Ádám 1 Bortos, Maria Yu. 1 Hamilton, Holly 1 Monaghan, Faye 1 O’Brien, Killian 1 Şahinkaya, Serap all top 5 Serials 7 Finite Fields and their Applications 5 Advances in Mathematics of Communications 4 Discrete Mathematics 4 International Electronic Journal of Algebra (IEJA) 3 Acta Scientiarum Mathematicarum 3 International Journal of Algebra and Computation 3 International Journal of Pure and Applied Mathematics 3 Journal of Algebra and its Applications 2 Czechoslovak Mathematical Journal 2 Designs, Codes and Cryptography 2 Cryptography and Communications 2 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Communications in Algebra 1 Information Processing Letters 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 The Australasian Journal of Combinatorics 1 Serdica Mathematical Journal 1 Mathematical Communications 1 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series 1 Algebra and Discrete Mathematics 1 International Journal of Information and Coding Theory 1 International Journal of Group Theory 1 Malaysian Journal of Mathematical Sciences all top 5 Fields 41 Associative rings and algebras (16-XX) 30 Group theory and generalizations (20-XX) 29 Information and communication theory, circuits (94-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 2 Number theory (11-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 218 times in 87 Documents Cited by ▼ Year ▼ Constructions for self-dual codes induced from group rings. Zbl 1416.94064 Gildea, Joe; Kaya, Abidin; Taylor, Rhian; Yildiz, Bahattin 22 2018 The structure of the unit group of the group algebra \(\mathbb F_{2^k}D_8\). Zbl 1242.16033 Creedon, Leo; Gildea, Joe 21 2011 Unitary units of the group algebra \(\mathbb{F}_{2^k}Q_8\). Zbl 1171.16302 Creedon, Leo; Gildea, Joe 21 2009 The structure of the unit group of the group algebra \(F_{2^k}A_4\). Zbl 1237.16035 Gildea, Joe 12 2011 The structure of the unitary units of the group algebra \(\mathbb F_{2^k}D_8\). Zbl 1253.16035 Gildea, Joe 9 2011 Zassenhaus conjecture for integral group ring of simple linear groups. Zbl 1280.16035 Gildea, Joe 9 2013 The structure of the unit group of the group algebra \(\mathbb{F}_{3^k}(C_3\times D_6)\). Zbl 1202.16030 Gildea, Joe 9 2010 Involutions and unitary subgroups in group algebras. Zbl 1316.16026 Balogh, Zsolt; Creedon, Leo; Gildea, Joe 9 2013 An altered four circulant construction for self-dual codes from group rings and new extremal binary self-dual codes. I. Zbl 1421.94112 Gildea, Joe; Kaya, Abidin; Yildiz, Bahattin 8 2019 Units of some group algebras of groups of order 12 over any finite field of characteristic 3. Zbl 1256.16023 Gildea, Joe; Monaghan, Faye 8 2011 On the order of \(\mathcal U(\mathbb{F}_{p^k}D_{2p^m})\). Zbl 1149.16303 Gildea, Joe 7 2008 Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68. Zbl 1487.94188 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian; Kaya, Abidin 7 2020 Constructing self-dual codes from group rings and reverse circulant matrices. Zbl 1466.94049 Gildea, Joe; Korban, Adrian; Kaya, Abidin; Yildiz, Bahattin 7 2021 Units of the group algebra \(\mathbb F_{5^k}(C_5\rtimes C_4)\). Zbl 1253.16036 Gildea, Joe 6 2011 Units of the group algebra \(\mathbb F_{2^k}(C_2\times D_8)\). Zbl 1237.16034 Gildea, Joe 6 2011 The structure of the unit group of the group algebra \(\mathbb{F}_{3^k}D_6\). Zbl 1145.16308 Creedon, Leo; Gildea, Joe 6 2008 New extremal binary self-dual codes of length 68 from generalized neighbors. Zbl 1465.94106 Gildea, Joe; Kaya, Abidin; Korban, Adrian; Yildiz, Bahattin 5 2020 Double bordered constructions of self-dual codes from group rings over Frobenius rings. Zbl 1454.94126 Gildea, Joe; Taylor, Rhian; Kaya, Abidin; Tylyshchak, A. 4 2020 New extremal self-dual binary codes of length 68 via composite construction, \( \mathbb{F}_2 + u \mathbb{F}_2\) lifts, extensions and neighbours. Zbl 1485.94155 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian; Kaya, Abidin 4 2020 Extending an established isomorphism between group rings and a subring of the \(n\times n\) matrices. Zbl 1482.16035 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian 4 2021 Modified quadratic residue constructions and new extremal binary self-dual codes of lengths 64, 66 and 68. Zbl 1485.94158 Gildea, Joe; Hamilton, Holly; Kaya, Abidin; Yildiz, Bahattin 4 2020 \(G\)-codes over formal power series rings and finite chain rings. Zbl 1473.94137 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian 3 2020 A modified bordered construction for self-dual codes from group rings. Zbl 1469.94133 Gildea, Joe; Kaya, Abidin; Tylyshchak, Alexander; Yildiz, Bahattin 3 2020 Composite matrices from group rings, composite \(G\)-codes and constructions of self-dual codes. Zbl 1469.94130 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian; Kaya, Abidin 3 2021 New binary self-dual codes of lengths \(56, 58, 64, 80\) and \(92\) from a modification of the four circulant construction. Zbl 1476.94036 Gildea, Joe; Korban, Adrian; Roberts, Adam M. 3 2021 \(2^n\) bordered constructions of self-dual codes from group rings. Zbl 1464.94067 Dougherty, Steven T.; Gildea, Joe; Kaya, Abidin 3 2020 Units of the group algebra \(\mathbb F_{3^k}(C_3^2\rtimes C_2)\). Zbl 1235.16034 Gildea, Joe 2 2011 The centre of the maximal \(p\)-subgroup of \(\mathcal U(\mathbb{F}_{p^k}D_{2p})\). Zbl 1175.16031 Gildea, Joe 2 2009 New binary self-dual codes via a variation of the four-circulant construction. Zbl 1471.94027 Gildea, Joe; Kaya, Abidin; Yildiz, Bahattin 2 2020 The structure of the unit group of the group algebra of Pauli’s group over any field of characteristic 2. Zbl 1205.16031 Gildea, Joe 2 2010 Units of the group algebra of the group \(C_n \times D_8\) over any finite field of characteristic 2. Zbl 07369130 Gildea, J.; O’Malley, S. 2 2021 New extremal binary self-dual codes from block circulant matrices and block quadratic residue circulant matrices. Zbl 1485.94157 Gildea, J.; Kaya, A.; Taylor, R.; Tylyshchak, A.; Yildiz, B. 2 2021 The structure of \(\mathcal U(\mathbb F_{5^k}D_{20})\). Zbl 1253.16034 Gildea, Joe 1 2010 New self-dual and formally self-dual codes from group ring constructions. Zbl 1472.94075 Dougherty, Steven T.; Gildea, Joe; Kaya, Abidin; Yildiz, Bahattin 1 2020 Self-dual codes using bisymmetric matrices and group rings. Zbl 1460.94082 Gildea, J.; Kaya, A.; Korban, A.; Tylyshchak, A. 1 2020 Group LCD and group reversible LCD codes. Zbl 1510.94090 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian; Roberts, Adam M. 1 2022 New self-dual codes of length 68 from a \(2 \times 2\) block matrix construction and group rings. Zbl 1512.94121 Bortos, Maria; Gildea, Joe; Kaya, Abidin; Korban, Adrian; Tylyshchak, Alexander 1 2022 New binary self-dual codes of lengths 80, 84 and 96 from composite matrices. Zbl 1496.94082 Gildea, Joe; Korban, Adrian; Roberts, Adam Michael 1 2022 Units of the group algebra of the group \(C_n \times D_6\) over any finite field of characteristic 3. Zbl 1414.16029 Gildea, Joe; Taylor, Rhian 1 2018 Units of group algebras of non-Abelian groups of order 16 and exponent 4 over \(\mathbb F_{2^k}\). Zbl 1264.16039 Gildea, Joe 1 2012 Group LCD and group reversible LCD codes. Zbl 1510.94090 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian; Roberts, Adam M. 1 2022 New self-dual codes of length 68 from a \(2 \times 2\) block matrix construction and group rings. Zbl 1512.94121 Bortos, Maria; Gildea, Joe; Kaya, Abidin; Korban, Adrian; Tylyshchak, Alexander 1 2022 New binary self-dual codes of lengths 80, 84 and 96 from composite matrices. Zbl 1496.94082 Gildea, Joe; Korban, Adrian; Roberts, Adam Michael 1 2022 Constructing self-dual codes from group rings and reverse circulant matrices. Zbl 1466.94049 Gildea, Joe; Korban, Adrian; Kaya, Abidin; Yildiz, Bahattin 7 2021 Extending an established isomorphism between group rings and a subring of the \(n\times n\) matrices. Zbl 1482.16035 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian 4 2021 Composite matrices from group rings, composite \(G\)-codes and constructions of self-dual codes. Zbl 1469.94130 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian; Kaya, Abidin 3 2021 New binary self-dual codes of lengths \(56, 58, 64, 80\) and \(92\) from a modification of the four circulant construction. Zbl 1476.94036 Gildea, Joe; Korban, Adrian; Roberts, Adam M. 3 2021 Units of the group algebra of the group \(C_n \times D_8\) over any finite field of characteristic 2. Zbl 07369130 Gildea, J.; O’Malley, S. 2 2021 New extremal binary self-dual codes from block circulant matrices and block quadratic residue circulant matrices. Zbl 1485.94157 Gildea, J.; Kaya, A.; Taylor, R.; Tylyshchak, A.; Yildiz, B. 2 2021 Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68. Zbl 1487.94188 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian; Kaya, Abidin 7 2020 New extremal binary self-dual codes of length 68 from generalized neighbors. Zbl 1465.94106 Gildea, Joe; Kaya, Abidin; Korban, Adrian; Yildiz, Bahattin 5 2020 Double bordered constructions of self-dual codes from group rings over Frobenius rings. Zbl 1454.94126 Gildea, Joe; Taylor, Rhian; Kaya, Abidin; Tylyshchak, A. 4 2020 New extremal self-dual binary codes of length 68 via composite construction, \( \mathbb{F}_2 + u \mathbb{F}_2\) lifts, extensions and neighbours. Zbl 1485.94155 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian; Kaya, Abidin 4 2020 Modified quadratic residue constructions and new extremal binary self-dual codes of lengths 64, 66 and 68. Zbl 1485.94158 Gildea, Joe; Hamilton, Holly; Kaya, Abidin; Yildiz, Bahattin 4 2020 \(G\)-codes over formal power series rings and finite chain rings. Zbl 1473.94137 Dougherty, Steven T.; Gildea, Joe; Korban, Adrian 3 2020 A modified bordered construction for self-dual codes from group rings. Zbl 1469.94133 Gildea, Joe; Kaya, Abidin; Tylyshchak, Alexander; Yildiz, Bahattin 3 2020 \(2^n\) bordered constructions of self-dual codes from group rings. Zbl 1464.94067 Dougherty, Steven T.; Gildea, Joe; Kaya, Abidin 3 2020 New binary self-dual codes via a variation of the four-circulant construction. Zbl 1471.94027 Gildea, Joe; Kaya, Abidin; Yildiz, Bahattin 2 2020 New self-dual and formally self-dual codes from group ring constructions. Zbl 1472.94075 Dougherty, Steven T.; Gildea, Joe; Kaya, Abidin; Yildiz, Bahattin 1 2020 Self-dual codes using bisymmetric matrices and group rings. Zbl 1460.94082 Gildea, J.; Kaya, A.; Korban, A.; Tylyshchak, A. 1 2020 An altered four circulant construction for self-dual codes from group rings and new extremal binary self-dual codes. I. Zbl 1421.94112 Gildea, Joe; Kaya, Abidin; Yildiz, Bahattin 8 2019 Constructions for self-dual codes induced from group rings. Zbl 1416.94064 Gildea, Joe; Kaya, Abidin; Taylor, Rhian; Yildiz, Bahattin 22 2018 Units of the group algebra of the group \(C_n \times D_6\) over any finite field of characteristic 3. Zbl 1414.16029 Gildea, Joe; Taylor, Rhian 1 2018 Zassenhaus conjecture for integral group ring of simple linear groups. Zbl 1280.16035 Gildea, Joe 9 2013 Involutions and unitary subgroups in group algebras. Zbl 1316.16026 Balogh, Zsolt; Creedon, Leo; Gildea, Joe 9 2013 Units of group algebras of non-Abelian groups of order 16 and exponent 4 over \(\mathbb F_{2^k}\). Zbl 1264.16039 Gildea, Joe 1 2012 The structure of the unit group of the group algebra \(\mathbb F_{2^k}D_8\). Zbl 1242.16033 Creedon, Leo; Gildea, Joe 21 2011 The structure of the unit group of the group algebra \(F_{2^k}A_4\). Zbl 1237.16035 Gildea, Joe 12 2011 The structure of the unitary units of the group algebra \(\mathbb F_{2^k}D_8\). Zbl 1253.16035 Gildea, Joe 9 2011 Units of some group algebras of groups of order 12 over any finite field of characteristic 3. Zbl 1256.16023 Gildea, Joe; Monaghan, Faye 8 2011 Units of the group algebra \(\mathbb F_{5^k}(C_5\rtimes C_4)\). Zbl 1253.16036 Gildea, Joe 6 2011 Units of the group algebra \(\mathbb F_{2^k}(C_2\times D_8)\). Zbl 1237.16034 Gildea, Joe 6 2011 Units of the group algebra \(\mathbb F_{3^k}(C_3^2\rtimes C_2)\). Zbl 1235.16034 Gildea, Joe 2 2011 The structure of the unit group of the group algebra \(\mathbb{F}_{3^k}(C_3\times D_6)\). Zbl 1202.16030 Gildea, Joe 9 2010 The structure of the unit group of the group algebra of Pauli’s group over any field of characteristic 2. Zbl 1205.16031 Gildea, Joe 2 2010 The structure of \(\mathcal U(\mathbb F_{5^k}D_{20})\). Zbl 1253.16034 Gildea, Joe 1 2010 Unitary units of the group algebra \(\mathbb{F}_{2^k}Q_8\). Zbl 1171.16302 Creedon, Leo; Gildea, Joe 21 2009 The centre of the maximal \(p\)-subgroup of \(\mathcal U(\mathbb{F}_{p^k}D_{2p})\). Zbl 1175.16031 Gildea, Joe 2 2009 On the order of \(\mathcal U(\mathbb{F}_{p^k}D_{2p^m})\). Zbl 1149.16303 Gildea, Joe 7 2008 The structure of the unit group of the group algebra \(\mathbb{F}_{3^k}D_6\). Zbl 1145.16308 Creedon, Leo; Gildea, Joe 6 2008 all cited Publications top 5 cited Publications all top 5 Cited by 69 Authors 25 Gildea, Joe 18 Kaya, Abidin 15 Korban, Adrian 12 Yildiz, Bahattin 10 Tylyshchak, Alexander A. 9 Dougherty, Steven T. 7 Sharma, Rajendra Kumar 5 Ansari, Sheere Farhat 5 Balogh, Zsolt Ádám 5 Roberts, Adam Michael 5 Sahai, Meena 5 Taylor, Rhian 4 Makhijani, Neha 4 Margolis, Leo 4 Raza, Zahid 4 Srivastava, J. B. 3 Ahmad, Maqsood 3 Bächle, Andreas 3 Khan, Manju 3 Li, Yuanlin 3 Şahinkaya, Serap 3 Tang, Gaohua 2 Bhatt, Suchi 2 Bovdi, Victor A. 2 Chandra, Harish 2 Fernández-Córdoba, Cristina 2 Gildea, Joseph 2 Kaur, Kuldeep 2 Maheshwari, Swati 2 Su, Huadong 2 Ustun, Deniz 2 Wei, Yangjiang 1 Ali, Riasat 1 Bai, Yunpeng 1 Bortos, Maria Yu. 1 Bui Xuan Hai 1 Cao, Yonglin 1 Cao, Yuan 1 Chen, Weining 1 Choi, Whan-Hyuk 1 Creedon, Leo 1 Eisele, Florian 1 Grishkov, Alexander Nikolaevich 1 Gupta, Shefali 1 Hamilton, Holly 1 Huang, Hongdi 1 Hue, Dau Thi 1 Hughes, Kieran 1 Kaur, Surinder 1 Kim, Jon-Lark 1 Kimmerle, Wolfgang 1 Konovalov, Olexandr 1 Laver, V. O. 1 Liang, Linhua 1 Liu, Heguo 1 Ma, Fanghui 1 Mai Hoang Bien 1 Mishra, Shivangni 1 Mittal, Gaurav 1 Mohammed Salih, Haval M. 1 Patanker, Nupur 1 Peng, Jiangtao 1 Srivastava, Nikita 1 Szabo, Steve 1 Ten-Valls, Roger 1 Udar, Dinesh 1 Wang, Yulei 1 Yang, Shudi 1 Yao, Zhengan all top 5 Cited in 33 Serials 14 Journal of Algebra and its Applications 8 Finite Fields and their Applications 6 Advances in Mathematics of Communications 5 Discrete Mathematics 5 Asian-European Journal of Mathematics 4 International Journal of Algebra and Computation 4 International Electronic Journal of Algebra (IEJA) 4 Journal of Algebra, Combinatorics, Discrete Structures and Applications 3 Czechoslovak Mathematical Journal 3 Designs, Codes and Cryptography 2 Communications in Algebra 2 Ukrainian Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Quaestiones Mathematicae 2 Bulletin of the Korean Mathematical Society 2 Cryptography and Communications 2 International Journal of Group Theory 2 AIMS Mathematics 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Information Processing Letters 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Acta Mathematica Hungarica 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Applicable Algebra in Engineering, Communication and Computing 1 The Australasian Journal of Combinatorics 1 Journal of the Egyptian Mathematical Society 1 Algebras and Representation Theory 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Journal of the Iranian Mathematical Society all top 5 Cited in 7 Fields 68 Associative rings and algebras (16-XX) 45 Group theory and generalizations (20-XX) 33 Information and communication theory, circuits (94-XX) 7 Number theory (11-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) Citations by Year