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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제37권 제1호
- 발행연도
- 2019.1
- 수록면
- 85 - 95 (11page)
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In this paper, we define near-minimal shadow and study the existence problem of extremal Type I binary self-dual codes with near-minimal shadow. We prove that there is no such codes of length n = 24m + 2($m{\geq}0$), n = 24m + 4($m{\geq}9$), n = 24m + 6($m{\geq}21$), and n = 24m + 10($m{\geq}87$).
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참고문헌 (11)
참고문헌 신청
C. Bachoc / 2004 / Designs and self-dual codes with long shadows / J. Combin. Theory ser. A 105:15~34
E. R. Berlekamp / 1972 / Gleason's theorem on self-dual codes / IEEE Trans. Inform. Theory 18:409~414
S. Bouyuklieva / 2018 / Nonexistence of certain singly even self-dual codes with minimal shadow / The Electronic Journal of Combinatorics 25:1~13
S. Bouyuklieva / 2012 / Singly even self-dual codes with minimal shadow / IEEE Trans. Inform. Theory 58:3856~3860
J. H. Conway / 1990 / A new upper bound on the minimal distance of self-dual codes / IEEE Trans. Inform. Theory 36:1319~1333
E. R. Berlekamp / 1972 / Gleason's theorem on self-dual codes / IEEE Trans. Inform. Theory 18:409~414
S. Bouyuklieva / 2018 / Nonexistence of certain singly even self-dual codes with minimal shadow / The Electronic Journal of Combinatorics 25:1~13
S. Bouyuklieva / 2012 / Singly even self-dual codes with minimal shadow / IEEE Trans. Inform. Theory 58:3856~3860
J. H. Conway / 1990 / A new upper bound on the minimal distance of self-dual codes / IEEE Trans. Inform. Theory 36:1319~1333
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