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 present a new way of obtaining the complete factorization of $X^{n}-1$ for $n=15,17,19$ over the $4$-adic ring $\O_4[X]$ of integers and thus over the Galois rings $GR(2^e,2)$. As a result, we determine all cyclic codes of lengths 15, 17 and 19 over those rings. This extends our previous work on such cyclic codes of odd lengths less than 15.
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
A. R. Calderbank / 1995 / Modular and p-adic cyclic codes / Des. Codes. Cryptogr 6:21~35
S.T. Dougherty / 2005 / Lifted codes and their weight enumer-ators / Discrete Math 305:123~135
S.T. Dougherty / 2006 / Codes over the p-adic integers / Des. Codes. Cryptogr 39:65~80
F. Q. Gouvea / 2003 / p-adic numbers, An introduction / Springer
W.C. Huffman / 2003 / Fundamentals of error-correcting codes
S.T. Dougherty / 2005 / Lifted codes and their weight enumer-ators / Discrete Math 305:123~135
S.T. Dougherty / 2006 / Codes over the p-adic integers / Des. Codes. Cryptogr 39:65~80
F. Q. Gouvea / 2003 / p-adic numbers, An introduction / Springer
W.C. Huffman / 2003 / Fundamentals of error-correcting codes
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
On quantum codes from cyclic codes over a class of nonchain rings
대한수학회보
2016 .01
-
Cyclic and constacyclic self-dual codes over R_k
대한수학회보
2017 .07
-
Quasi-cyclic self-dual codes with four factors
한국수학논문집
2024 .09
-
QUANTUM CODES FROM CYCLIC CODES OVER F<sub>4</sub> + vF<sub>4</sub>
Journal of applied mathematics & informatics
2016 .01
-
Characterization of a cyclic group ring in terms of character values
대한수학회논문집
2015 .01
-
POWERS OF THE AUGMENTATION IDEAL OF A CYCLIC GROUP RING
호남수학학술지
2015 .01
-
Cyclic codes of length $p^s$ over $\frac{\mathbb{F}_{p^m}[u]}{\langle u^e \rangle}$
대한수학회논문집
2024 .01
-
New extremal binary self-dual codes of lengths 66 and 68 from codes over Rk,m
대한수학회보
2017 .01
-
On reversible $\mathbb{Z}_2$-double cyclic codes
대한수학회보
2023 .03
-
Quadratic residue codes over $p$-adic integers and their projections to integers modulo $p^e$
한국수학논문집
2015 .01
-
Cyclic codes from the first class two-prime Whiteman's generalized cyclotomic sequence with order 6
대한수학회보
2019 .01
-
ONE GENERATOR QUASI-CYCLIC CODES OVER 𝔽<sub>2</sub> + v𝔽<sub>2</sub>
Journal of applied mathematics & informatics
2018 .01
-
On LCD codes over finite chain rings
대한수학회보
2020 .01
-
ONE-HOMOGENEOUS WEIGHT CODES OVER FINITE CHAIN RINGS
대한수학회보
2015 .01
-
UN rings and group rings
대한수학회보
2023 .01
-
Finite groups with a cyclic norm quotient
대한수학회보
2016 .01
-
On U-group Rings
대한수학회논문집
2018 .01
-
Self-dual codes over ${\mathbb Z}_{p^2}$ of small lengths
한국수학논문집
2017 .01
-
Construction for self-orthogonal codes over a certain non-chain Frobenius ring
대한수학회지
2022 .01
-
Skew constacyclic codes over finite commutative semi-simple rings
대한수학회보
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0