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Author ID: gildea.joe Recent zbMATH articles by "Gildea, Joe"
Published as: Gildea, Joe
External Links: MGP

Publications by Year

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

Citations by Year