Number Theory · Mathematics
New cubic self-dual codes of length 54, 60 and 66
Pınar Çomak, Jon-Lark Kim, Ferruh Özbudak
2017-06-26
Rings and Algebras · Mathematics
New Extremal Binary Self-Dual Codes from Block Circulant Matrices and Block Quadratic Residue Circulant Matrices
Joe Gildea, Abidin Kaya, Rhian Taylor, Alexander Tylyshchak +1
2020-04-02
Combinatorics · Mathematics
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction
Joe Gildea, Adrian Korban, Adam Michael Roberts
2021-06-24
Information Theory · Computer Science
New Singly and Doubly Even Binary [72,36,12] Self-Dual Codes from $M_2(R)G$ -- Group Matrix Rings
Adrian Korban, Serap Sahinkaya, Deniz Ustun
2021-02-26
Combinatorics · Mathematics
A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codes
Joe Gildea, Abidin Kaya, Alexander Tylyshchak, Bahattin Yildiz
2019-12-30
Information Theory · Computer Science
New Type I Binary [72, 36, 12] Self-Dual Codes from Composite Matrices and R1 Lifts
Adrian Korban, Serap Sahinkaya, Deniz Ustun
2021-02-02
Information Theory · Computer Science
New Self-Dual Codes of length 68 from a 2 by 2 block matrix Construction and Group Rings
Maria Bortos, Joe Gildea, Abidin Kaya, Adrian Korban +1
2020-03-12
Information Theory · Computer Science
New binary self-dual codes of lengths 56, 62, 78, 92 and 94 from a bordered construction
Joe Gildea, Adrian Korban, Adam Michael Roberts, Alexander Tylyshchak
2023-03-24
Combinatorics · Mathematics
New binary self-dual codes of lengths 80, 84 and 96 from composite matrices
Joe Gildea, Adrian Korban, Adam Michael Roberts
2023-01-18