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ORCIDAdrian Korban
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2020 – today
- 2024
[j30]Joe Gildea
, Adrian Korban, Adam Michael Roberts, Alexander Tylyshchak:
Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours. Adv. Math. Commun. 18(3): 738-752 (2024)- [j29]Adrian Korban, Serap Sahinkaya, Deniz Ustun:
A novel genetic search scheme based on nature-inspired evolutionary algorithms for binary self-dual codes. Adv. Math. Commun. 18(4): 892-908 (2024) - [j28]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Binary self-dual and LCD codes from generator matrices constructed from two group ring elements by a heuristic search scheme. Adv. Math. Commun. 18(4): 922-934 (2024) - [j27]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
DNA codes from skew dihedral group ring. Adv. Math. Commun. 18(4): 1138-1154 (2024) - [j26]Adrian Korban, Serap Sahinkaya, Deniz Ustun:
An application of a virus optimization algorithm to the problem of computing binary self-dual and LCD codes. Adv. Math. Commun. 18(5): 1390-1405 (2024) - [j25]Joe Gildea, Adrian Korban, Adam Michael Roberts:
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. 93: 102315 (2024) - [j24]Steven T. Dougherty, Joe Gildea, Adrian Korban, Adam Michael Roberts:
Codes over a ring of order 32 with two Gray maps. Finite Fields Their Appl. 95: 102384 (2024) - 2023
- [j23]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Group matrix ring codes and constructions of self-dual codes. Appl. Algebra Eng. Commun. Comput. 34(2): 279-299 (2023) - [j22]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Additive skew G-codes over finite fields. Appl. Algebra Eng. Commun. Comput. 34(3): 423-442 (2023) - [j21]Adrian Korban, Serap Sahinkaya, Deniz Ustun:
New type i binary [72, 36, 12] self-dual codes from composite matrices and R1 lifts. Adv. Math. Commun. 17(4): 994-1011 (2023) - [j20]Yasemin Cengellenmis, Abdullah Dertli, Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Reversible $ G $-codes over the ring $ {\mathcal{F}}_{j,k} $ with applications to DNA codes. Adv. Math. Commun. 17(6): 1406-1421 (2023) - [j19]Joe Gildea, Adrian Korban, Adam Michael Roberts, Alexander Tylyshchak:
Extremal binary self-dual codes from a bordered four circulant construction. Discret. Math. 346(8): 113425 (2023) - [j18]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Construction of DNA Codes From Composite Matrices and a Bio-Inspired Optimization Algorithm. IEEE Trans. Inf. Theory 69(3): 1588-1603 (2023) - 2022
- [j17]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya:
Self-dual additive codes. Appl. Algebra Eng. Commun. Comput. 33(5): 569-586 (2022) - [j16]Maria Bortos, Joe Gildea, Abidin Kaya, Adrian Korban, Alexander Tylyshchak:
New self-dual codes of length 68 from a 2 ˟ 2 block matrix construction and group rings. Adv. Math. Commun. 16(2): 269-284 (2022) - [j15]Joe Gildea, Adrian Korban, Adam Michael Roberts:
New binary self-dual codes of lengths 80, 84 and 96 from composite matrices. Des. Codes Cryptogr. 90(2): 317-342 (2022) - [j14]Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Reversible Gk-codes with applications to DNA codes. Des. Codes Cryptogr. 90(7): 1679-1694 (2022) - [j13]Steven T. Dougherty, Joe Gildea, Adrian Korban, Adam Michael Roberts:
Group LCD and group reversible LCD codes. Finite Fields Their Appl. 83: 102079 (2022) - [j12]Serap Sahinkaya, Adrian Korban, Deniz Ustun:
Maximal entanglement-assisted quantum error correction codes from the skew group ring ${\mathbb {F}}_4 \rtimes _{\varphi } G$ by a heuristic search scheme. Quantum Inf. Process. 21(4): 156 (2022) - 2021
- [j11]Joe Gildea, Adrian Korban, Abidin Kaya, Bahattin Yildiz:
Constructing self-dual codes from group rings and reverse circulant matrices. Adv. Math. Commun. 15(3): 471-485 (2021) - [j10]Steven T. Dougherty, Joe Gildea, Adrian Korban, Serap Sahinkaya:
G-codes, self-dual G-codes and reversible G-codes over the ring ${\mathscr{B}}_{j, k}$. Cryptogr. Commun. 13(5): 601-616 (2021) - [j9]Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya:
Composite matrices from group rings, composite G-codes and constructions of self-dual codes. Des. Codes Cryptogr. 89(7): 1615-1638 (2021) - [j8]Joe Gildea, Adrian Korban, Adam Michael Roberts:
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. 75: 101876 (2021) - [j7]Adrian Korban, Serap Sahinkaya, Deniz Ustun:
New singly and doubly even binary [72, 36, 12] self-dual codes from M2(R)G - group matrix rings. Finite Fields Their Appl. 76: 101924 (2021) - [j6]Steven T. Dougherty, Joe Gildea, Adrian Korban:
Extending an established isomorphism between group rings and a subring of the n × n matrices. Int. J. Algebra Comput. 31(3): 471-490 (2021) - [i14]Adrian Korban, Serap Sahinkaya, Deniz Ustun:
New Type I Binary [72, 36, 12] Self-Dual Codes from Composite Matrices and R1 Lifts. CoRR abs/2102.00474 (2021) - [i13]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Group Matrix Ring Codes and Constructions of Self-Dual Codes. CoRR abs/2102.00475 (2021) - [i12]Joe Gildea, Adrian Korban, Adam Michael Roberts:
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction. CoRR abs/2102.10354 (2021) - [i11]Adrian Korban, Serap Sahinkaya, Deniz Ustun:
New Singly and Doubly Even Binary [72, 36, 12] Self-Dual Codes from M2(R)G - Group Matrix Rings. CoRR abs/2102.12863 (2021) - [i10]Adrian Korban, Serap Sahinkaya, Deniz Ustun:
An Application of the Virus Optimization Algorithm to the Problem of Finding Extremal Binary Self-Dual Codes. CoRR abs/2103.07739 (2021) - [i9]Joe Gildea, Adrian Korban, Adam Michael Roberts:
New binary self-dual codes of lengths 80, 84 and 96 from composite matrices. CoRR abs/2106.12355 (2021) - [i8]Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Reversible Gk-Codes with Applications to DNA Codes. CoRR abs/2108.02033 (2021) - [i7]Steven T. Dougherty, Joe Gildea, Adrian Korban, Adam Michael Roberts:
Group LCD and Group Reversible LCD Codes. CoRR abs/2108.05056 (2021) - [i6]Joe Gildea, Adrian Korban, Adam Michael Roberts, Alexander Tylyshchak:
New binary self-dual codes of lengths 56, 62, 78, 92 and 94 from a bordered construction. CoRR abs/2108.09184 (2021) - [i5]Joe Gildea, Adrian Korban, Adam Michael Roberts, Alexander Tylyshchak:
Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours. CoRR abs/2109.00908 (2021) - [i4]Adrian Korban, Serap Sahinkaya, Deniz Ustun:
New Extremal Binary Self-Dual Codes of Length 72 from M6(F2)G - Group Matrix Rings by a Hybrid Search Technique Based on a Neighbourhood-Virus Optimisation Algorithm. CoRR abs/2109.06522 (2021) - 2020
- [j5]Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya:
Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68. Adv. Math. Commun. 14(4): 677-702 (2020) - [j4]Joe Gildea, Abidin Kaya, Adrian Korban, Alexander Tylyshchak:
Self-dual codes using bisymmetric matrices and group rings. Discret. Math. 343(11): 112085 (2020) - [j3]Joe Gildea, Abidin Kaya, Adrian Korban, Bahattin Yildiz:
New extremal binary self-dual codes of length 68 from generalized neighbors. Finite Fields Their Appl. 67: 101727 (2020) - [j2]Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya:
New extremal self-dual binary codes of length 68 via composite construction, 2 + u2 lifts, extensions and neighbours. Int. J. Inf. Coding Theory 5(3/4): 211-226 (2020) - [i3]Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya:
Composite Matrices from Group Rings, Composite G-Codes and Constructions of Self-Dual Codes. CoRR abs/2002.11614 (2020) - [i2]Maria Bortos, Joe Gildea, Abidin Kaya, Adrian Korban, Alexander Tylyshchak:
New Self-Dual Codes of length 68 from a 2 by 2 block matrix Construction and Group Rings. CoRR abs/2003.05064 (2020) - [i1]Adrian Korban, Serap Sahinkaya, Deniz Ustun:
A Novel Genetic Search Scheme Based on Nature - Inspired Evolutionary Algorithms for Self-Dual Codes. CoRR abs/2012.12248 (2020)
2010 – 2019
- 2019
- [j1]Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya, Alexander Tylyshchak, Bahattin Yildiz:
Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes. Finite Fields Their Appl. 57: 108-127 (2019)
Coauthor Index
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