Adrian Korban

Publication Activity (10 Years)

Years Active: 2019-2024
Publications (10 Years): 44

Top Topics

Logical Operations

Error Correction

Optimisation Algorithm

Top Venues

Adv. Math. Commun.

Finite Fields Their Appl.

Des. Codes Cryptogr.

Publications

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) (2024)
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 (2024)
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) (2024)
Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun
DNA codes from skew dihedral group ring. Adv. Math. Commun. 18 (4) (2024)
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 (2024)
Adrian Korban, Serap Sahinkaya, Deniz Ustun
New type I binary $[72, 36, 12]$ self-dual codes from $M_6(\mathbb{F}_2)G$ - Group matrix rings by a hybrid search technique based on a neighbourhood-virus optimisation algorithm. Adv. Math. Commun. 18 (4) (2024)
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) (2024)
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) (2023)
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) (2023)
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) (2023)
Adrian Korban, Serap Sahinkaya, Deniz Ustun
lifts. Adv. Math. Commun. 17 (4) (2023)
Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun
Additive skew G-codes over finite fields. Appl. Algebra Eng. Commun. Comput. 34 (3) (2023)
Joe Gildea, Adrian Korban, Adam Michael Roberts, Alexander Tylyshchak
Extremal binary self-dual codes from a bordered four circulant construction. Discret. Math. 346 (8) (2023)
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) (2022)
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) (2022)
Steven T. Dougherty, Joe Gildea, Adrian Korban, Adam Michael Roberts
Group LCD and group reversible LCD codes. Finite Fields Their Appl. 83 (2022)
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) (2022)
Steven T. Dougherty, Adrian Korban, Serap Sahinkaya
Self-dual additive codes. Appl. Algebra Eng. Commun. Comput. 33 (5) (2022)
Adrian Korban, Serap Sahinkaya, Deniz Ustun
-codes with applications to DNA codes. Des. Codes Cryptogr. 90 (7) (2022)
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) (2021)
Adrian Korban, Serap Sahinkaya, Deniz Ustun
)G - Group Matrix Rings by a Hybrid Search Technique Based on a Neighbourhood-Virus Optimisation Algorithm. CoRR (2021)
Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun
Group Matrix Ring Codes and Constructions of Self-Dual Codes. CoRR (2021)
Adrian Korban, Serap Sahinkaya, Deniz Ustun
(R)G - Group Matrix Rings. CoRR (2021)
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) (2021)
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 (2021)
Adrian Korban, Serap Sahinkaya, Deniz Ustun
- group matrix rings. Finite Fields Their Appl. 76 (2021)
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 (2021)
Steven T. Dougherty, Joe Gildea, Adrian Korban, Adam Michael Roberts
Group LCD and Group Reversible LCD Codes. CoRR (2021)
Joe Gildea, Adrian Korban, Adam Michael Roberts
New binary self-dual codes of lengths 80, 84 and 96 from composite matrices. CoRR (2021)
Adrian Korban, Serap Sahinkaya, Deniz Ustun
-Codes with Applications to DNA Codes. CoRR (2021)
Joe Gildea, Adrian Korban, Abidin Kaya, Bahattin Yildiz
Constructing self-dual codes from group rings and reverse circulant matrices. Adv. Math. Commun. 15 (3) (2021)
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) (2021)
Adrian Korban, Serap Sahinkaya, Deniz Ustun
New Type I Binary [72, 36, 12] Self-Dual Codes from Composite Matrices and R1 Lifts. CoRR (2021)
Adrian Korban, Serap Sahinkaya, Deniz Ustun
An Application of the Virus Optimization Algorithm to the Problem of Finding Extremal Binary Self-Dual Codes. CoRR (2021)
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 (2021)
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 (2021)
Joe Gildea, Abidin Kaya, Adrian Korban, Alexander Tylyshchak
Self-dual codes using bisymmetric matrices and group rings. Discret. Math. 343 (11) (2020)
Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya
lifts, extensions and neighbours. Int. J. Inf. Coding Theory 5 (3/4) (2020)
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 (2020)
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) (2020)
Adrian Korban, Serap Sahinkaya, Deniz Ustun
A Novel Genetic Search Scheme Based on Nature - Inspired Evolutionary Algorithms for Self-Dual Codes. CoRR (2020)
Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya
Composite Matrices from Group Rings, Composite G-Codes and Constructions of Self-Dual Codes. CoRR (2020)
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 (2020)
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 (2019)