2021/08/28 by Keita Ishizuka, Ishizuka, Keita, Ken Saito +1 · 1 citation
Computer Science · Engineering · Mathematics · Medicine · #94B05 #Cancer Mechanisms and Therapy #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #cs.IT #graph theory and CDMA systems #math.CO #math.IT #msc:94B05
paper · pdf · doi:10.48550/arxiv.2108.12544
arxiv created 2021/08/28 · openalex publication_date 2021/08/28 · arxiv updated 2021/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
From a given [n, k] code C, we give a method for constructing many [n, k] codes C' such that the hull dimensions of C and C' are identical. This method can be applied to constructions of both self-dual codes and linear complementary dual codes (LCD codes for short). Using the method, we construct 661 new inequivalent extremal doubly even [56, 28, 12] codes. Furthermore, constructing LCD codes by the method, we improve some of the previously known lower bounds on the largest minimum weights of binary LCD codes of length n=26,28 ≤ n ≤ 40.