Group rings, G -codes and constructions of self-dual and formally self-dual codes ST Dougherty, J Gildea, R Taylor, A Tylyshchak
Designs, Codes and Cryptography 86, 2115-2138, 2018
60 2018 The Structure of the Unit Group of the Group Algebra 𝔽_{2^k}D_8 L Creedon, J Gildea
Canadian Mathematical Bulletin 54, 237-243, 2011
52 2011 Constructions for self-dual codes induced from group rings J Gildea, A Kaya, R Taylor, B Yildiz
Finite Fields and Their Applications 51, 71-92, 2018
47 2018 Unitary Units of The Group Algebra L Creedon, J Gildea
arXiv preprint arXiv:0905.4644, 2009
36 2009 On the order of U (Fpk D2pm) J Gildea
Int. J. Pure Appl. Math 46 (2), 267-272, 2008
34 2008 Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes ST Dougherty, J Gildea, A Korban, A Kaya, A Tylyshchak, B Yildiz
Finite Fields and Their Applications 57, 108-127, 2019
30 * 2019 The structure of the Unitary Units of the Group Algebra F2kD8 J Gildea
International Electronic Journal of Algebra 9 (9), 171-176, 2011
25 2011 The structure of the unit group of the group algebra F3kD6 L Creedon, J Gildea
International Journal of Pure and Applied Mathematics 45 (2), 315-320, 2008
24 2008 The Structure of the Unit Group of the Group Algebra 𝔽3 k (C 3× D 6) J Gildea
Communications in Algebra® 38 (9), 3311-3317, 2010
22 2010 The structure of the unit group of the group algebra J Gildea
Czechoslovak mathematical journal 61 (2), 531-539, 2011
21 2011 Units of some group algebras of groups of order 12 over any finite field of characteristic 3 J Gildea, F Monaghan
Algebra and Discrete Mathematics, 2011
21 2011 Quadruple bordered constructions of self-dual codes from group rings ST Dougherty, J Gildea, A Kaya
Cryptography and Communications 12 (1), 127-146, 2020
20 2020 Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68 S Dougherty, J Gildea, A Kaya, A Korban
American Institute of Mathematical Sciences, 2019
18 2019 Zassenhaus Conjecture for Integral Group Rings of Simple Linear Groups J Gildea
arXiv preprint arXiv:1512.00330, 2015
18 2015 Constructing self-dual codes from group rings and reverse circulant matrices J Gildea, A Kaya, A Korban, B Yildiz
American Institute of Mathematical Sciences, 2020
16 2020 UNITS OF THE GROUP ALGEBRA 𝔽2 κ(C2 × D8 ) J Gildea
Journal of Algebra and Its Applications 10 (04), 643-647, 2011
16 2011 New extremal self-dual binary codes of length 68 via composite construction, 𝔽2 + u 𝔽2 lifts, extensions and neighbours ST Dougherty, J Gildea, A Korban, A Kaya
International Journal of Information and Coding Theory 5 (3-4), 211-226, 2020
15 2020 Composite matrices from group rings, composite G-codes and constructions of self-dual codes ST Dougherty, J Gildea, A Korban, A Kaya
Designs, Codes and Cryptography 89 (7), 1615-1638, 2021
12 2021 INVOLUTIONS AND UNITARY SUBGROUPS IN GROUP ALGEBRAS JGLC Z Balogh
ACTA SCIENTIARUM MATHEMATICARUM (Szeged) 79 (3-4), 391-400, 2013
12 2013 An altered four circulant construction for self-dual codes from group rings and new extremal binary self-dual codes I J Gildea, A Kaya, B Yildiz
Discrete Mathematics 342 (12), 111620, 2019
11 * 2019