Explicit factorization of x1lm1l2m2l3m3 - a and a-constacyclic codes over a finite field

被引：0

作者：

Rakphon, Supakarn ^{[1
]}

Chongchitmate, Wutichai ^{[1
]}

Phuto, Jirayu ^{[2
]}

Klin-eam, Chakkrid ^{[2
]}

机构：

[1] Chulalongkorn Univ, Fac Sci, Dept Math & Comp Sci, Bangkok, Thailand

[2] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok, Thailand

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 11期

关键词：

Constacyclic codes; cyclotomic coset; generator polynomials; irreducible factor polynomials;

D O I：

10.1080/00927872.2022.2072854

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F-q be a finite field of order q, t be a prime and m(1), m(2), m(3) be positive integers. In this article, we find all irreducible divisors of x(1)(lm1l2m2l3m3) - a over F-q where a is an element of F-q* and q(t) - 1 = l(1)(V1)l(2)(V2)l(3)(V3) c such that l(1), l(2), l(3) are distinct odd primes and c is a positive integer with gcd(l(1) l(2) l(3), c) = 1 and gcd(l(1)l(2)l(3), q(q - 1)) = 1. Moreover, we construct an a-constacyclic code by using these irreducible divisors.

引用

页码：4725 / 4745

页数：21

共 50 条

[31] L(H) not equal Sigma(m(1), m(2)... m(n))
Braithwaite, Jeffrey
LEADERSHIP IN HEALTH SERVICES, 2008, 21 (01) : 8 - 15
[32] The homotopy groups of L2T(m)/(p[m/2]+2, v1)for m 1
Wang, Xiangjun
Yuan, Zihong
NEW YORK JOURNAL OF MATHEMATICS, 2018, 24 : 1123 - 1146
[33] (M3L4 + M2L4): a unique example of a co-crystal containing M3L4 and M2L4 metallocages
Ma, Chunhua
Wang, Jintao
Zhao, Lin
Shi, Yueqin
Luo, Wenping
Yan, Yawkai
Fang, Min
Wang, Xiujian
Liu, Hong-Ke
CRYSTENGCOMM, 2013, 15 (47): : 10311 - 10315
[34] Typical ranks of m x n x (m - 1)n tensors with 3 ≤ m ≤ n over the real number field
Sumi, Toshio
Miyazaki, Mitsuhiro
Sakata, Toshio
LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (05): : 940 - 955
[35] Measurements of L3l, L3α, L3β, L2β, L2γ, L1β, L1γ, Lβ, Lγ, L1x, L2x and L3x x-ray production cross sections and L subshell fluorescence yields for Re, W and Ta at 59.5 keV
Ertugrul, M
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2001, 34 (11) : 2081 - 2088
[36] R(n,1×m)型图的L(3,2,1)-标号
郑学谦
太原师范学院学报(自然科学版), 2013, 12 (04) : 20 - 21+86
[37] On Recognition of the Finite Simple Orthogonal Groups of Dimension 2m, 2m+1, and 2m+2 over a Field of Characteristic 2
A. V. Vasil'ev
M. A. Grechkoseeva
Siberian Mathematical Journal, 2004, 45 : 420 - 432
[38] On recognition of the finite simple orthogonal groups of dimension 2m, 2m+1, and 2m+2 over a field of characteristic 2
Vasil'ev, AV
Grechkoseeva, MA
SIBERIAN MATHEMATICAL JOURNAL, 2004, 45 (03) : 420 - 432
[39] Explicit Representation and Enumeration of Repeated-Root (δ plus αu2)-Constacyclic Codes Over F2m[u]/⟨u⟩2λ⟩
Cao, Yuan
Cao, Yonglin
Dinh, Hai Q.
Bag, Tushar
Yamaka, Woraphon
IEEE ACCESS, 2020, 8 : 55550 - 55562
[40] Evaluation of the convolution sums Σa1m1+a2m2+a3m3+a4m4=n σ(m1)σ(m2)σ(m3)σ(m4) with 1cm(a1, a2, a3, a4) ≤ 4
Lee, Joohee
Park, Yoon Kyung
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (08) : 2155 - 2173

← 1 2 3 4 5 →