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초록· 키워드
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A subset of n tuples of
elements of Z_9 is said to be a code over Z_9 if
it is a Z_9-module. In this paper we consider an special
family of cyclic codes over Z_9, namely quadratic residue
codes. We define these codes in term of their idempotent
generators and show that these codes also have many good
properties which are analogous in many respects to properties of
quadratic residue codes over finite fields.
목차
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참고문헌 (10)
참고문헌 신청
A. Bonneaze. / 1995 / Calderbank, Quaternary quadratic residue codes and unimodular lattices, IEEE Trans / Theory 41 41 (2) : 366 ~ 377
A. R. Hammons, Jr. / 1994 / The Z4-linearity of Kerdock, Preparata, Goethals, and related codes, IEEE Trans / Theory 40 40 (2) : 301 ~ 319
B. R. McDonald / 1974 / Finite Rings with Identity, Pure and Applied Mathematics / Marcel Dekker, Inc. 28
F. J. MacWilliams. / 1977 / The theory of error-correcting codes
M. H. Chiu. / 2000 / Z8-cyclic codes and quadratic residue codes / Adv. in Appl. Math. 25 (1) : 12 ~
A. R. Hammons, Jr. / 1994 / The Z4-linearity of Kerdock, Preparata, Goethals, and related codes, IEEE Trans / Theory 40 40 (2) : 301 ~ 319
B. R. McDonald / 1974 / Finite Rings with Identity, Pure and Applied Mathematics / Marcel Dekker, Inc. 28
F. J. MacWilliams. / 1977 / The theory of error-correcting codes
M. H. Chiu. / 2000 / Z8-cyclic codes and quadratic residue codes / Adv. in Appl. Math. 25 (1) : 12 ~
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