논문KCI 등재
LIFTS OF THE TERNARY QUADRATIC RESIDUE CODE OF LENGTH 24 AND THEIR WEIGHT ENUMERATORS
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We study the extended quadratic residue code of length 24 over $\mathbb{Z}_3$ and its lifts to rings $\mathbb{Z}_{3^e}$ for all e including 3-adic integers ring. We completely determine the weight enumerators of all these lifts.
Abstract
We study the extended quadratic residue code of length 24 over $\mathbb{Z}_3$ and its lifts to rings $\mathbb{Z}_{3^e}$ for all e including 3-adic integers ring. We completely determine the weight enumerators of all these lifts.
참고문헌 (15)
- A.R. Calderbank, "Modular and p-adic and cyclic codes", DCC, 6, pp.21~35 (1995)
- S.T. Dougherty, "Lifted codes and their weight enumer- ators", Discrite Math, 305, pp.123~135 (2005)
- S.T. Dougherty, "Codes over the p-adic integers", Des. Codes. Cryptogr, 39, pp.65~80 (2006)
- S. Han, "On the weight enumerators of the projections of the 2-adic Golay codes of length 24" (2012)
- W.C. Human, "Fundamentals of error-correcting codes" (2003), Cambridge
- S.J. Kim, "Generator polynomials of the p-adic quadratic residue codes", Kangweon-Kyungki Math. J, 13, pp.103~112 (2005)
- R. Lidl, "Finite Fields" (2003), Cambridge
- F.J. MacWilliams, "The theory of error-correcting codes" (1977), North-Holland
- B.R. McDonald, "Finite rings with identity" (1974), Dekker
- K. Nagata, "On self-dual codes over Z16", Lecture Notes in Computer Science, 5527, pp.107~116 (2009)
- G. Nebe, "Self-dual codes and invariant theory" (2006), Springer-Verlag
- Y.H. Park, "Modular independence and generator matrices for codes over Zm", Des. Codes. Crypt, 50, pp.147~162 (2009)
- Y.H. Park, "On lifted codes and p-adic codes - their weight enumerators", KIAS international conference on coding theory and applications (2012)
- Y.H. Park, "Quadratic residue codes over p-adic integers and their projections to integers modulo pe, in preparation", ~ (2012)
- Bijan Taeri, "Quadratic residue codes over Z_9", 대한수학회지, 46(1), pp.13~30 (2009), 대한수학회
관련 논문AI추천
The $q$-adic liftings of codes over finite fields박영호강원경기수학회 · 한국수학논문집2018 · 제26권 제3호Quadratic residue codes over $p$-adic integers and their projections to integers modulo $p^e$박영호강원경기수학회 · 한국수학논문집2015 · 제23권 제1호Duadic codes over finite local ringsArezoo Soufi Karbaski, Karim Samei대한수학회 · 대한수학회보2022 · 제59권 제2호Quadratic residue codes over Galois rings박영호강원경기수학회 · 한국수학논문집2016 · 제24권 제3호Quadratic residue codes over Z_9Bijan Taeri대한수학회 · 대한수학회지2009 · 제46권 제1호Codes over polynomial rings and their projections박영호강원경기수학회 · 한국수학논문집2009 · 제17권 제4호
이 간행물의 다른 논문 (17건)
KRONECKER FUNCTION RINGS AND PRUFER-LIKE DOMAINS장규환pp. 371-379SET-VALUED CHOQUET-PETTIS INTEGRALS박춘기pp. 381-393DIAMETER OF THE DIRECT PRODUCT OF WIELANDT GRAPH김수연, 송병철pp. 395-402EVERY LINK IS A BOUNDARY OF A COMPLETE BIPARTITE GRAPH K(2,n)김동석, 전상민, 장용준pp. 403-414WEAK PROPERTY (Bk)이종성, 조규근pp. 415-422
