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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Bibliographic Details
Main Authors: Jiang, Yih-Jaw, 姜義照
Other Authors: Tsai Han-Ping
Format: Others
Language:zh-TW
Published: 1996
Online Access:http://ndltd.ncl.edu.tw/handle/78252984777614434121
Description
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).