On components of the Kerdock codes and the dual of the BCH code C_1,3 Full article
| Journal |
Discrete Mathematics
ISSN: 0012-365X , E-ISSN: 1872-681X |
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| Output data | Year: 2019, Volume: 343, Number: 2, Article number : 111668, Pages count : 8 DOI: 10.1016/j.disc.2019.111668 | ||||
| Tags | Код Кердока, код БЧХ, равномерноупакованный код, схема отношений, i-компонента | ||||
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Abstract:
In the paper we investigate the structure of i-components of two classes of codes: the Kerdock codes and the duals of the linear
uniformly packed codes with parameters of the primitive double-error-correcting BCH code. We prove that for any admissible
length the punctured Kerdock code consists of two i-components and the dual of the linear uniformly packed codes with parameters
of the primitive double-error-correcting BCH code is an i-component for any i. We give an alternative proof for the fact presented by
De Caen and van Dam in 1999 that the restrictions of the Hamming scheme to the doubly shortened Kerdock codes are association
schemes.
Cite:
Mogilnykh I.Y.
, Solov’eva F.I.
On components of the Kerdock codes and the dual of the BCH code C_1,3
Discrete Mathematics. 2019. V.343. N2. 111668 :1-8. DOI: 10.1016/j.disc.2019.111668 WOS Scopus РИНЦ OpenAlex
On components of the Kerdock codes and the dual of the BCH code C_1,3
Discrete Mathematics. 2019. V.343. N2. 111668 :1-8. DOI: 10.1016/j.disc.2019.111668 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000504780200022 |
| Scopus: | 2-s2.0-85072997946 |
| Elibrary: | 43206057 |
| OpenAlex: | W2978103510 |