Formally self-dual LCD codes from two-class association schemes (CROSBI ID 308780)
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Podaci o odgovornosti
Crnković, Dean ; Grbac, Ana ; Švob, Andrea
engleski
Formally self-dual LCD codes from two-class association schemes
Linear codes with complementary duals, shortly named LCD codes, are linear codes whose intersection with their duals is trivial. In this paper, we outline a construction for LCD codes over finite fields from the adjacency matrices of two-class association schemes. These schemes consist of either strongly regular graphs (SRGs) or doubly regular tournaments (DRTs). Under certain conditions, the method yields formally self-dual codes. Further, we propose a decoding algorithm that can be feasible for the LCD codes obtained using one of the given methods.
LCD code, association scheme, strongly regular graph, doubly regular tournament, formally self-dual code
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Podaci o izdanju
34
2023.
183-200
objavljeno
0938-1279
1432-0622
10.1007/s00200-021-00497-5