LIFTS OF THE TERNARY QUADRATIC RESIDUE CODE OF LENGTH 24 AND THEIR WEIGHT ENUMERATORS

박영호

doi:10.11568/kjm.2012.20.4.525

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LIFTS OF THE TERNARY QUADRATIC RESIDUE CODE OF LENGTH 24 AND THEIR WEIGHT ENUMERATORS

박영호

초록

We study the extended quadratic residue code of length 24 over $Z_{3}$ and its lifts to rings $Z_{3^{e}}$ for all e including 3-adic integers ring. We completely determine the weight enumerators of all these lifts.

키워드

quadratic residue code; code over rings; self-dual code; p-adic code; weight enumertaor

제목: LIFTS OF THE TERNARY QUADRATIC RESIDUE CODE OF LENGTH 24 AND THEIR WEIGHT ENUMERATORS

저자: 박영호

DOI: 10.11568/kjm.2012.20.4.525

발행일: 2012-12

유형: Y

저널명: 한국수학논문집

권: 20

호: 4

페이지: 525 ~ 532