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Kanda, Hitoshi; Shirouzu, Makoto; Maehara, Kaito; Maruta, Tatsuya
Discrete mathematics, 11/2022, Letnik: 345, Številka: 11Journal Article
We consider the extendability of linear codes over the field of order 4 whose codewords have at most four weights modulo 16. For instance, we prove that every n,k,d4 code with d≡−3(mod16), k≥3, is extendable if all possible weights of codewords are congruent to 0,−1,−2,−3(mod16). Such a code with d≡−1 or −2(mod16) is extendable as well except for some cases.
