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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.21 No.4
- 발행연도
- 2018.1
- 수록면
- 617 - 626 (10page)
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We discuss self-dual codes over the ring R = F2m +uF2m + vF2m + uvF2m, u² = 0, v² = 0, uv = vu. We consider de nition of trace function and self-dual basis over the field F2m. We consider the Gray map and self-orthogonal basis to discuss some theoretical properties of self-dual and Type II codes over the ring R. Also we see how Lee weight and trace are related over the ring R for a self-dual basis.
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참고문헌 (15)
참고문헌 신청
E. Bannai / 2003 / Type II codes over ${\mathbb{F}}_2+u{\mathbb{F}}_2$ and applications to Hermitian modular forms / Abhandlungen a us dem Mathematischen Seminar der Universitat Hamburg :13~42
K. Betsumiya / 2004 / Type II codes over ${\mathbb{F}}_{2m}+u{\mathbb{F}}_{2m}$ / Discrete Mathematics 275(1):43~65
A. Bonnecaze / 1999 / Cyclic codes and self-dual codes over ${\mathbb{F}}_2+u{\mathbb{F}}_2$ / Transactions on Information Theory 45(4):1250~1255
J. H. Conway / 1992 / The binary self-dual codes of length up to 32 : a revised enumeration / Journal of Combinatorial Theory, Series A 60(2):183~195
S. T. Dougherty / 1999 / Type II codes over ${\mathbb{F}}_2+u{\mathbb{F}}_2$ / IEEE Transactions on Information Theory 45(1):32~45
K. Betsumiya / 2004 / Type II codes over
A. Bonnecaze / 1999 / Cyclic codes and self-dual codes over
J. H. Conway / 1992 / The binary self-dual codes of length up to 32 : a revised enumeration / Journal of Combinatorial Theory, Series A 60(2):183~195
S. T. Dougherty / 1999 / Type II codes over
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