논문KCI 등재
Quadratic residue codes over $p$-adic integers and their projections to integers modulo $p^e$
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참고문헌
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주제분류수학
초록
We give idempotent generators for quadratic residue codes over $p$-adic integers and over the rings $\Z_{p^e}$.
Abstract
We give idempotent generators for quadratic residue codes over $p$-adic integers and over the rings $\Z_{p^e}$.
참고문헌 (13)
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- S.T. Dougherty, "Codes over the p-adic integers", Des. Codes. Cryptogr, 39, pp.65~80 (2006)
- W.C. Human, "Fundamentals of error-correcting codes" (2003), Cambridge
- S.J. Kim, "Quadratic residue codes over Z16", Kangweon-Kyungki Math. J, 11, pp.57~64 (2003)
- S.J. Kim, "Generator polynomials of the p-adic quadratic residue codes", Kangweon-Kyungki Math. J, 13, pp.103~112 (2005)
- 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)
- Bijan Taeri, "Quadratic residue codes over Z_9", 대한수학회지, 46(1), pp.13~30 (2009), 대한수학회
관련 논문AI추천
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