지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
We study codes meeting a generalized version of the Singleton bound for higher weights. We show that some of the higher weight enumerators of these codes are uniquely determined. We give the higher weight enumerators for MDS codes, the Simplex codes, the Hamming codes, the first order Reed-Muller codes and their dual codes. For the putative [72, 36, 16] code we find the i-th higher weight enumerators for i = 12 to 36. Additionally, we give a version of the generalized Singleton bound for non-linear codes.
목차
등록된 정보가 없습니다.
참고문헌 (19)
참고문헌 신청
/ / http://kutacc.kut.ac.kr/≫sunghyu/data/hw/HW-P5-48-72.pdf
/ / http://kutacc.kut.ac.kr/≫sunghyu/data/hw/HW-SHRM.pdf
D. Britz / 2007 / The higher weight enumerators of the doubly-even, self-dual [48, 24, 12] code / IEEE Trans. Inform. Theory 53 (7) : 2567 ~ 2571
F. J. MacWilliams / 1977 / The Theory of Error-Correcting Codes I, II, North-Holland Mathematical Library, Vol. 16 / North-Holland Publishing Co.
G. McGuire / 1998 / The weight enumerator of the code of the projective plane of order 5 / Geom. Dedicata 73 (1) : 63 ~ 77
F. J. MacWilliams / 1977 / The Theory of Error-Correcting Codes I, II, North-Holland Mathematical Library, Vol. 16 / North-Holland Publishing Co.
G. McGuire / 1998 / The weight enumerator of the code of the projective plane of order 5 / Geom. Dedicata 73 (1) : 63 ~ 77
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Complete weight enumerators of some classes of linear codes with a few weights
대한수학회보
2018 .01
-
MACWILLIAMS IDENTITIES OVER $M_n\times_s(Z_4)$ WITH RESPECT TO THE RT METRIC
Journal of applied mathematics & informatics
2008 .01
-
LIFTS OF THE TERNARY QUADRATIC RESIDUE CODE OF LENGTH 24 AND THEIR WEIGHT ENUMERATORS
한국수학논문집
2012 .01
-
New extremal binary self-dual codes of lengths 66 and 68 from codes over Rk,m
대한수학회보
2017 .01
-
AN IDENTITY BETWEEN THE m-SPOTTY ROSENBLOOM-TSFASMAN WEIGHT ENUMERATORS OVER FINITE COMMUTATIVE FROBENIUS RINGS
대한수학회보
2015 .01
-
NOTES ON MDS SELF-DUAL CODES
Journal of applied mathematics & informatics
2012 .01
-
Codes over polynomial rings and their projections
한국수학논문집
2009 .01
-
ONE-HOMOGENEOUS WEIGHT CODES OVER FINITE CHAIN RINGS
대한수학회보
2015 .01
-
Quadratic residue codes over Z_9
대한수학회지
2009 .01
-
A construction of two-weight codes and its applications
대한수학회보
2017 .01
-
SELF-DUAL CODES AND FIXED-POINT-FREE PERMUTATIONS OF ORDER 2
대한수학회보
2014 .01
-
Self-dual codes over ${\mathbb Z}_{p^2}$ of small lengths
한국수학논문집
2017 .01
-
An upper bound on the number of parity checks for burst error detection and correction in Euclidean codes
대한수학회지
2009 .01
-
On closing codes
대한수학회보
2018 .01
-
CONSTRUCTION OF SELF-DUAL CODES OVER F2 + uF2
대한수학회보
2012 .01
-
On LCD codes over finite chain rings
대한수학회보
2020 .01
-
Linear and non-linear loop-transversal codes in error-correction and graph domination
대한수학회보
2020 .01
-
CODES OVER $Z_m$
The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A
1998 .01
-
QUANTUM CODES FROM CYCLIC CODES OVER F<sub>4</sub> + vF<sub>4</sub>
Journal of applied mathematics & informatics
2016 .01
-
SIMULTANEOUS RANDOM ERROR CORRECTION AND BURST ERROR DETECTION IN LEE WEIGHT CODES
호남수학학술지
2008 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0