Correction to: Galois hulls of constacyclic codes over finite fields
نویسندگان
چکیده
A Correction to this paper has been published: https://doi.org/10.1007/s12095-022-00602-6
منابع مشابه
Constacyclic codes over finite fields
An equivalence relation called isometry is introduced to classify constacyclic codes over a finite field; the polynomial generators of constacyclic codes of length lp are characterized, where p is the characteristic of the finite field and l is a prime different from p.
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In this paper, we study the complementary dual codes in more general setting (which are called Galois LCD codes) by a uniform method. A necessary and sufficient condition for linear codes to be Galois LCD codes is determined, and constacyclic codes to be Galois LCD codes are characterized. Some illustrative examples which constacyclic codes are Galois LCD MDS codes are provided as well. In part...
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Generalizing Euclidean inner product and Hermitian inner product, we introduce Galois inner products, and study the Galois self-dual constacyclic codes in a very general setting by a uniform method. The conditions for existence of Galois self-dual and isometrically Galois self-dual constacyclic codes are obtained. As consequences, the results on self-dual, iso-dual and Hermitian self-dual const...
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ژورنال
عنوان ژورنال: Cryptography and Communications
سال: 2022
ISSN: ['1936-2455', '1936-2447']
DOI: https://doi.org/10.1007/s12095-022-00602-6