충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제36권3호
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  • Pages.181-194
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  • 2023
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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MDS SELF-DUAL CODES OVER GALOIS RINGS WITH EVEN CHARACTERISTIC

  • 투고 : 2023.04.10
  • 심사 : 2023.08.21
  • 발행 : 2023.08.31
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초록

Let GR(2m, r) be a Galois ring with even characteristic. We are interested in the existence of MDS(Maximum Distance Separable) self-dual codes over GR(2m, r). In this paper, we prove that there exists an MDS self-dual code over GR(2m, r) with parameters [n, n/2, n/2 + 1] if (n - 1) | (2r - 1) and 8 | n.

키워드

과제정보

This paper was supported by the Education and Research Promotion Program of KOREATECH in 2023.

참고문헌

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