Self-orthogonal codes over a non-unital ring and combinatorial matrices
There is a local ring E of order 4, without identity for the multiplication, defined by generators
and relations as E= ⟨ a, b ∣ 2a= 2b= 0,\, a^ 2= a,\, b^ 2= b,\, ab= a,\, ba= b ⟩. E=⟨ a, b∣ 2
a= 2 b= 0, a 2= a, b 2= b, ab= a, ba= b⟩. We study a special construction of self-orthogonal
codes over E, based on combinatorial matrices related to two-class association schemes,
Strongly Regular Graphs (SRG), and Doubly Regular Tournaments (DRT). We construct
quasi self-dual codes over E, and Type IV codes, that is, quasi self-dual codes whose all …
and relations as E= ⟨ a, b ∣ 2a= 2b= 0,\, a^ 2= a,\, b^ 2= b,\, ab= a,\, ba= b ⟩. E=⟨ a, b∣ 2
a= 2 b= 0, a 2= a, b 2= b, ab= a, ba= b⟩. We study a special construction of self-orthogonal
codes over E, based on combinatorial matrices related to two-class association schemes,
Strongly Regular Graphs (SRG), and Doubly Regular Tournaments (DRT). We construct
quasi self-dual codes over E, and Type IV codes, that is, quasi self-dual codes whose all …
[CITATION][C] Correction: Self-orthogonal codes over a non-unital ring and combinatorial matrices
Correction: Self-orthogonal codes over a non-unital ring and combinatorial matrices …
Correction: Self-orthogonal codes over a non-unital ring and combinatorial matrices …
Designs, Codes and Cryptography (2023) 91:691 https://doi.org/10.1007/s10623-022-01170-9 …
Correction: Self-orthogonal codes over a non-unital ring and combinatorial matrices …
Designs, Codes and Cryptography (2023) 91:691 https://doi.org/10.1007/s10623-022-01170-9 …
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