[KSCI] Korea Science Citation Index Service

Park, Young Ho (Department of Mathematics Kangwon National University)

Publication Information

Abstract

We give idempotent generators for quadratic residue codes over p-adic integers and over the rings $\mathbb{Z}_{p^e}$ .

Keywords

quadratic residue code; p-adic code; idempotent generator;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

1	S.T. Dougherty and Y.H. Park, Codes over the p-adic integers, Des. Codes. Cryptogr. 39 (2006), 65-80. DOI
2	W.C. Huffman and V. Pless, Fundamentals of error-correcting codes, Cambridge, 2003.
3	S.J. Kim, Quadratic residue codes over ${\mathbb{Z}}_{16}$ , Kangweon-Kyungki Math. J. 11 (2003), 57-64.
4	S.J. Kim, Generator polynomials of the p-adic quadratic residue codes, Kangweon-Kyungki Math. J. 13 (2005), 103-112.
5	F.J. MacWilliams and N.J.A. Sloane, The theory of error-correcting codes, North-Holland, Amsterdam, 1977.
6	B.R. McDonald, Finite rings with identity, Dekker, New York, 1974.
7	K. Nagata, F. Nemenzo and H. Wada, On self-dual codes over ${\mathbb{Z}}_{16}$ , Lecture Notes in Computer Science 5527, 107-116, 2009.
8	G. Nebe, E. Rains and N.J.A. Sloane, Self-dual codes and invariant theory, Springer-Verlag, 2006.
9	Y.H. Park, Modular independence and generator matrices for codes over ${\mathbb{Z}}_m$ , Des. Codes. Crypt 50 (2009), 147-162. DOI
10	B. Taeri, Quadratic residue codes over ${\mathbb{Z}}_9$ , J. Korean Math Soc. 46 (2009), 13-30. DOI ScienceOn
11	A.R. Calderbank and N.J.A. Sloane, Modular and p-adic and cyclic codes, DCC, 6 (1995), 21-35.
12	M.H Chiu, S. S.-T. Yau and Y. Yu, ${\mathbb{Z}}_8$ -cyclic codes and quadratic residue codes, Advances in Algebra 25 (2000), 12-33.
13	S.T. Dougherty, S.Y. Kim and Y.H. Park, Lifted codes and their weight enumerators, Discrite Math. 305 (2005), 123-135. DOI ScienceOn

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