Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions
نویسندگان
چکیده
In this work, we give three new techniques for constructing Hermitian self-dual codes over commutative Frobenius rings with a non-trivial involutory automorphism using $$\lambda$$ -circulant matrices. The constructions are derived as modifications of various well-known circulant codes. Applying these together the building-up construction, construct many best known quaternary lengths 26, 32, 36, 38 and 40.
منابع مشابه
New extremal self-dual codes of lengths 36 and 38
There are two distinct weight enumerators for extremal singly-even self-dual [36; 18; 8] codes. For each weight enumerator, only one extremal self-dual code is previously known. In this correspondence, we construct several new extremal singly-even self-dual [36; 18; 8] codes for each weight enumerator. We also construct a number of new extremal singly-even self-dual [38; 19; 8] codes.
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ژورنال
عنوان ژورنال: Applicable Algebra in Engineering, Communication and Computing
سال: 2022
ISSN: ['1432-0622', '0938-1279']
DOI: https://doi.org/10.1007/s00200-022-00589-w