Joe Gildea

Orcid: 0000-0001-7242-779X

Affiliations:
  • University of Chester, United Kingdom


According to our database1, Joe Gildea authored at least 34 papers between 2009 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
The weight enumerators of singly-even self-dual [88,44,14] codes and new binary self-dual [68,34,12] and [88,44,14] codes.
Finite Fields Their Appl., January, 2024

Codes over a ring of order 32 with two Gray maps.
Finite Fields Their Appl., 2024

Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours.
Adv. Math. Commun., 2024

2023
Extremal binary self-dual codes from a bordered four circulant construction.
Discret. Math., August, 2023

New self-dual codes from $ 2 \times 2 $ block circulant matrices, group rings and neighbours of neighbours.
Adv. Math. Commun., 2023

2022
Group LCD and group reversible LCD codes.
Finite Fields Their Appl., 2022

New binary self-dual codes of lengths 80, 84 and 96 from composite matrices.
Des. Codes Cryptogr., 2022

New self-dual codes of length 68 from a 2 ˟ 2 block matrix construction and group rings.
Adv. Math. Commun., 2022

A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codes.
Australas. J Comb., 2022

2021
Extending an established isomorphism between group rings and a subring of the n × n matrices.
Int. J. Algebra Comput., 2021

New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction.
Finite Fields Their Appl., 2021

New extremal binary self-dual codes from block circulant matrices and block quadratic residue circulant matrices.
Discret. Math., 2021

Composite matrices from group rings, composite G-codes and constructions of self-dual codes.
Des. Codes Cryptogr., 2021

New binary self-dual codes of lengths 56, 62, 78, 92 and 94 from a bordered construction.
CoRR, 2021

G-codes, self-dual G-codes and reversible G-codes over the ring ${\mathscr{B}}_{j, k}$.
Cryptogr. Commun., 2021

Constructing self-dual codes from group rings and reverse circulant matrices.
Adv. Math. Commun., 2021

2020
Modified quadratic residue constructions and new extremal binary self-dual codes of lengths 64, 66 and 68.
Inf. Process. Lett., 2020

New extremal self-dual binary codes of length 68 via composite construction, <sub>2</sub> + <i>u</i><sub>2</sub> lifts, extensions and neighbours.
Int. J. Inf. Coding Theory, 2020

New extremal binary self-dual codes of length 68 from generalized neighbors.
Finite Fields Their Appl., 2020

2<sup><i>n</i></sup> Bordered constructions of self-dual codes from group rings.
Finite Fields Their Appl., 2020

Self-dual codes using bisymmetric matrices and group rings.
Discret. Math., 2020

New Self-Dual Codes of length 68 from a 2 by 2 block matrix Construction and Group Rings.
CoRR, 2020

Double bordered constructions of self-dual codes from group rings over Frobenius rings.
Cryptogr. Commun., 2020

Quadruple bordered constructions of self-dual codes from group rings.
Cryptogr. Commun., 2020

New self-dual and formally self-dual codes from group ring constructions.
Adv. Math. Commun., 2020

Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68.
Adv. Math. Commun., 2020

2019
Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes.
Finite Fields Their Appl., 2019

An altered four circulant construction for self-dual codes from group rings and new extremal binary self-dual codes I.
Discret. Math., 2019

New binary self-dual codes via a generalization of the four circulant construction.
CoRR, 2019

2018
Constructions for self-dual codes induced from group rings.
Finite Fields Their Appl., 2018

Group rings, G-codes and constructions of self-dual and formally self-dual codes.
Des. Codes Cryptogr., 2018

2016
Constructions of Self-Dual and Formally Self-Dual Codes from Group Rings.
CoRR, 2016

2010
The Structure of the Unit Group of the Group Algebra of Pauli's Group over any Field of Characteristic 2.
Int. J. Algebra Comput., 2010

2009
Unitary Units of the Group Algebra F<sub>2<sup>k</sup></sub>Q<sub>8</sub>.
Int. J. Algebra Comput., 2009


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