有限域F_q上λ-常循环码的迹表达式  

The trace representation of λ-constacyclic codes over the finite field F_q

作　　者：董学东[1] 殷世姣[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2010年第2期129-131,共3页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：有限域Fq上λ-常循环码是商环R=Fq[x]/<xn-λ>的理想,1-常循环码就是熟知的循环码.人们已经用不可约循环码的迹表达式确定了不可约循环码的Hamming重量分布.在给出了有限域Fq上λ-常循环码的迹表达式之后,确定了一类特殊的λ-常循环码的参数和重量分布.λ-constacyclic codes over the finite field Fq are ideals of the quotient ring R=Fq[x]/〈xn-λ〉.1-constacyclic codes are well known cyclic codes.The trace representation of cyclic codes is used to determine the parameters and the Hamming weight enumerator of an irreducible cyclic code.In this paper the trace representation of λ-constacyclic codes over the finite field Fq is given.The parameters and the Hamming weight enumerator of a kind of irreducible λ-constacyclic codes are found.

关 键 词：循环码 λ-常循环码 迹表达式 

分 类 号：O157.4[理学—数学]