A new approach to the Kasami codes of type 2 Full article
| Journal |
IEEE Transactions on Information Theory
ISSN: 0018-9448 , E-ISSN: 1557-9654 |
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| Output data | Year: 2020, Volume: 66, Number: 4, Pages: 2456-2465 Pages count : 10 DOI: 10.1109/tit.2019.2949609 | ||||||
| Tags | Kasami codes, completely regular codes, cyclic codes, concatenation, automorphism group | ||||||
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Abstract:
The dual of the Kasami code of length q^2-1, with q a power of 2, is constructed by concatenating a cyclic MDS code of length q+1 over Fq with a Simplex code of length q-1. This yields a new derivation of the weight distribution of the Kasami code, a new description of its coset graph, and a new proof that the Kasami code is completely regular. The automorphism groups of the Kasami code and the related q-ary MDS code are determined. New cyclic completely regular codes over finite fields a power of 2, generalized Kasami codes, are constructed; they have coset graphs isomorphic to that of the Kasami codes. Another wide class of completely regular codes, including additive codes, as well as unrestricted codes, is obtained by combining cosets of the Kasami or generalized Kasami code.
Cite:
Shi M.
, Krotov D.S.
, Solé P.
A new approach to the Kasami codes of type 2
IEEE Transactions on Information Theory. 2020. V.66. N4. P.2456-2465. DOI: 10.1109/tit.2019.2949609 WOS Scopus РИНЦ OpenAlex
A new approach to the Kasami codes of type 2
IEEE Transactions on Information Theory. 2020. V.66. N4. P.2456-2465. DOI: 10.1109/tit.2019.2949609 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Dec 28, 2018 |
| Accepted: | Oct 14, 2019 |
| Published online: | Oct 25, 2019 |
Identifiers:
| Web of science: | WOS:000522202300030 |
| Scopus: | 2-s2.0-85082516438 |
| Elibrary: | 43270418 |
| OpenAlex: | W3100907754 |