Extremal Self-Dual Codes of Length 58
碩士 === 東吳大學 === 數學系 === 85 === The main purpose of this thesis is to obtain the following extremal self-dual codes of length 58 with weight enumerator W=1+(319-24β-2γ)y^10+(3132+152β+2γ)y^12+(36540-680β+18γ) y^14 +(299541+1832β-18γ)y^16+...
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Other Authors: | |
Format: | Others |
Language: | zh-TW |
Published: |
1996
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Online Access: | http://ndltd.ncl.edu.tw/handle/78252984777614434121 |
Summary: | 碩士 === 東吳大學 === 數學系 === 85 === The main purpose of this thesis is to obtain the following
extremal self-dual codes of length 58 with weight enumerator
W=1+(319-24β-2γ)y^10+(3132+152β+2γ)y^12+(36540-680β+18γ)
y^14 +(299541+1832β-18γ)y^16+... .where (β=0,γ=88),(β=0,
γ=90),(β=0,γ=92),(β=0,γ=102),(β=0,γ=104),(β=0,γ=106),(
β=0,γ=108),(β=0,γ=110),(β=0,γ=112),(β=0,γ=114),(β=0,
γ=116),(β=0,γ=118),(β=0,γ=120),(β=0,γ=122),(β=0,
γ=124),(β=2,γ=62),(β=2,γ=64),(β=2,γ=68),(β=2,γ=70),(
β=2,γ=72),(β=2,γ=74),(β=2,γ=76),(β=2,γ=78),(β=2,
γ=80),(β=2,γ=82),(β=2,γ=84),(β=2,γ=86),(β=2,γ=88).
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