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Single orbit affine generators for extended BCH codes with designed distance three. / Mogilnykh, Ivan; Solov'eva, Faina.

Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020. Institute of Electrical and Electronics Engineers Inc., 2020. стр. 110-112 9383376 (Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Mogilnykh, I & Solov'eva, F 2020, Single orbit affine generators for extended BCH codes with designed distance three. в Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020., 9383376, Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020, Institute of Electrical and Electronics Engineers Inc., стр. 110-112, 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020, Vitual, Albena, Болгария, 11.10.2020. https://doi.org/10.1109/ACCT51235.2020.9383376

APA

Mogilnykh, I., & Solov'eva, F. (2020). Single orbit affine generators for extended BCH codes with designed distance three. в Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020 (стр. 110-112). [9383376] (Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACCT51235.2020.9383376

Vancouver

Mogilnykh I, Solov'eva F. Single orbit affine generators for extended BCH codes with designed distance three. в Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020. Institute of Electrical and Electronics Engineers Inc. 2020. стр. 110-112. 9383376. (Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020). doi: 10.1109/ACCT51235.2020.9383376

Author

Mogilnykh, Ivan ; Solov'eva, Faina. / Single orbit affine generators for extended BCH codes with designed distance three. Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020. Institute of Electrical and Electronics Engineers Inc., 2020. стр. 110-112 (Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020).

BibTeX

@inproceedings{d112afef45c2456ca4dd8e0e03aa9d03,
title = "Single orbit affine generators for extended BCH codes with designed distance three",
abstract = "We show that for any prime p, p ≠ 2, 3 and any m, m ≥ 3 the narrow-sense BCH codes over GF (p) of length pm - 1 with designed distance three are not spanned by theirs minimum nonzero weight codewords. We prove that the extensions of these codes are spanned by their codewords of weight five and the bases could be chosen in the affine orbits of explicit codewords. ",
keywords = "affine group, BCH code, minimum weight codewords, single orbit generator",
author = "Ivan Mogilnykh and Faina Solov'eva",
note = "Funding Information: This work was supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2020-1479/1). Publisher Copyright: {\textcopyright} 2020 IEEE. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020 ; Conference date: 11-10-2020 Through 17-10-2020",
year = "2020",
month = oct,
day = "11",
doi = "10.1109/ACCT51235.2020.9383376",
language = "English",
series = "Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "110--112",
booktitle = "Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020",
address = "United States",

}

RIS

TY - GEN

T1 - Single orbit affine generators for extended BCH codes with designed distance three

AU - Mogilnykh, Ivan

AU - Solov'eva, Faina

N1 - Funding Information: This work was supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2020-1479/1). Publisher Copyright: © 2020 IEEE. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2020/10/11

Y1 - 2020/10/11

N2 - We show that for any prime p, p ≠ 2, 3 and any m, m ≥ 3 the narrow-sense BCH codes over GF (p) of length pm - 1 with designed distance three are not spanned by theirs minimum nonzero weight codewords. We prove that the extensions of these codes are spanned by their codewords of weight five and the bases could be chosen in the affine orbits of explicit codewords.

AB - We show that for any prime p, p ≠ 2, 3 and any m, m ≥ 3 the narrow-sense BCH codes over GF (p) of length pm - 1 with designed distance three are not spanned by theirs minimum nonzero weight codewords. We prove that the extensions of these codes are spanned by their codewords of weight five and the bases could be chosen in the affine orbits of explicit codewords.

KW - affine group

KW - BCH code

KW - minimum weight codewords

KW - single orbit generator

UR - http://www.scopus.com/inward/record.url?scp=85103976171&partnerID=8YFLogxK

U2 - 10.1109/ACCT51235.2020.9383376

DO - 10.1109/ACCT51235.2020.9383376

M3 - Conference contribution

AN - SCOPUS:85103976171

T3 - Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020

SP - 110

EP - 112

BT - Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020

Y2 - 11 October 2020 through 17 October 2020

ER -

ID: 28364158