Group rings, *G*-codes and constructions of self-dual and formally self-dual codesST Dougherty, J Gildea, R Taylor, A Tylyshchak Designs, Codes and Cryptography 86, 2115-2138, 2018 | 56 | 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 | 54 | 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 | 46 | 2018 |

Unitary Units of The Group Algebra L Creedon, J Gildea arXiv preprint arXiv:0905.4644, 2009 | 35 | 2009 |

On the order of U (Fpk D2pm) J Gildea Int. J. Pure Appl. Math 46 (2), 267-272, 2008 | 33 | 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 unit group of the group algebra F3k D6 L Creedon, J Gildea Int. J. Pure Appl. Math 45 (2), 315-320, 2008 | 24 | 2008 |

The structure of the Unitary Units of the Group Algebra F2kD8 J Gildea International Electronic Journal of Algebra 9 (9), 171-176, 2011 | 23 | 2011 |

The structure of the unit group of the group algebra J Gildea Czechoslovak mathematical journal 61 (2), 531-539, 2011 | 22 | 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 | 22 | 2011 |

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 | 21 | 2010 |

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 |

Zassenhaus Conjecture for Integral Group Rings of Simple Linear Groups J Gildea arXiv preprint arXiv:1512.00330, 2015 | 18 | 2015 |

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 | 17 | 2019 |

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 | 15 | 2020 |

UNITS OF THE GROUP ALGEBRA 𝔽_{2}κ(C_{2} × D_{8})J Gildea Journal of Algebra and Its Applications 10 (04), 643-647, 2011 | 15 | 2011 |

New extremal self-dual binary codes of length 68 via composite construction, 𝔽_{2} + *u*𝔽_{2} lifts, extensions and neighboursST Dougherty, J Gildea, A Korban, A Kaya International Journal of Information and Coding Theory 5 (3-4), 211-226, 2020 | 14 | 2020 |

INVOLUTIONS AND UNITARY SUBGROUPS IN GROUP ALGEBRAS JGLC Z Balogh ACTA SCIENTIARUM MATHEMATICARUM (Szeged) 79 (3-4), 391-400, 2013 | 12 | 2013 |

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 | 11 | 2021 |

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 |