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
The aim of this paper is to study the class of $\Lambda$-constacyclic codes of length $2p^s$ over the finite commutative chain ring ${\mathcal R}_a=\frac{\mathbb F_{p^m}[u]}{\left\langle u^a \right\rangle}=\mathbb F_{p^m} + u \mathbb F_{p^m}+ \dots + u^{a-1}\mathbb F_{p^m}$, for all units $\Lambda$ of $\mathcal R_a$ that have the form $\Lambda=\Lambda_0+u\Lambda_1+\dots+u^{a-1}\Lambda_{a-1}$, where $\Lambda_0, \Lambda_1, \dots, \Lambda_{a-1} \in \mathbb F_{p^m}$, $\Lambda_0 \,{\not=}\, 0, \, \Lambda_1 \,{\not=}\, 0$. The algebraic structure of all $\Lambda$-constacyclic codes of length $2p^s$ over ${\mathcal R}_a$ and their duals are established. As an application, this structure is used to determine the Rosenbloom-Tsfasman (RT) distance and weight distributions of all such codes. Among such constacyclic codes, the unique MDS code with respect to the RT distance is obtained.
목차
등록된 정보가 없습니다.
참고문헌 (38)
참고문헌 신청
M. C. V. Amarra / 2008 / On (1 − u)-cyclic codes over $\mathbb{F}_{p^{\kappa}} + u\mathbb{F}_{p^{\kappa}}$ / Appl. Math. Lett. 21(11):1129~1133
E. Berlekamp / 1968 / Negacyclic codes for the Lee metric / Combinatorial Mathematics and its Applications (Proc. Conf., Univ. North Carolina) :298~316
E. Berlekamp / 2015 / Algebraic Coding Theory, revised edition / World Scientific Publishing Co. Pte. Ltd.
S. D. Berman / 1967 / Semisimple cyclic and Abelian codes. II / Cybernetics 3(3):17~23
A. Bonnecaze / 1999 / Cyclic codes and self-dual codes over $F_2 + uF_2$ / IEEE Trans. Inform. Theory 45(4):1250~1255
E. Berlekamp / 1968 / Negacyclic codes for the Lee metric / Combinatorial Mathematics and its Applications (Proc. Conf., Univ. North Carolina) :298~316
E. Berlekamp / 2015 / Algebraic Coding Theory, revised edition / World Scientific Publishing Co. Pte. Ltd.
S. D. Berman / 1967 / Semisimple cyclic and Abelian codes. II / Cybernetics 3(3):17~23
A. Bonnecaze / 1999 / Cyclic codes and self-dual codes over
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Primitive idempotents in the ring $F_{4}[x]/\langle x^{p^{n}}-1\rangle$ and cyclotomic $Q$ codes
대한수학회보
2018 .01
-
Translation theorems for the analytic Fourier--Feynman transform associated with Gaussian paths on Wiener space
대한수학회지
2018 .01
-
Cyclic codes of length $p^s$ over $\frac{\mathbb{F}_{p^m}[u]}{\langle u^e \rangle}$
대한수학회논문집
2024 .01
-
On $\mathbb{Z}_p\mathbb{Z}_p[u]/\langle u^k\rangle$-cyclic codes and their weight enumerators
대한수학회지
2021 .01
-
2-TYPE SURFACES AND QUADRIC HYPERSURFACES SATISFYING 〈∆𝑥, 𝑥〉 = const
East Asian Mathematical Journal
2017 .01
-
Cyclic codes over the ring ${\mathbb F}_p[u,v,w]/\langle u^2, v^2, w^2, uv-vu, vw-wv, uw-wu \rangle$
대한수학회보
2018 .01
-
Ideal right-angled pentagons in hyperbolic 4-space
대한수학회지
2019 .01
-
Ideal right-angled pentagons in hyperbolic 4-space
대한수학회지
2019 .01
-
Groups having many 2-generated subgroups in a given class
대한수학회보
2019 .01
-
RELATING GALOIS POINTS TO WEAK GALOIS WEIERSTRASS POINTS THROUGH DOUBLE COVERINGS OF CURVES
대한수학회지
2017 .01
-
A double integral characterization of a Bergman type space and its M\"obius invariant subspace
대한수학회보
2019 .01
-
2-Type Hypersurfaces Satisfying $ \langle \Delta x , x-x_0 \rangle = \mbox{const.}$
East Asian Mathematical Journal
2018 .01
-
ON S-CLOSED SUBMODULES
대한수학회지
2017 .07
-
Growth of solutions of non-homogeneous linear differential equations and its applications
한국수학논문집
2021 .01
-
On the Order of Growth of Solutions to Complex Nonhomogeneous Linear Differential Equations
Kyungpook Mathematical Journal
2016 .01
-
Some results relating to sum and product theorems of relative $\left(p,q,t\right) L$-th order and relative $\left( p,q,t\right) L$-th type of entire functions
한국수학논문집
2018 .01
-
Backward extensions of Bergman-type weighted shift
대한수학회보
2020 .01
-
On a Lie ring of generalized inner derivations
대한수학회논문집
2017 .01
-
On congruences involving the generalized Catalan numbers and harmonic numbers
대한수학회보
2019 .01
-
MODULE LEFT (m, n)-DERIVATIONS
순수 및 응용수학
2017 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0