Title :
The Weight Enumerator of a Class of Cyclic Codes
Author :
Ma, Changli ; Zeng, Liwei ; Liu, Yang ; Feng, Dengguo ; Ding, Cunsheng
Author_Institution :
Coll. of Math. & Inf. Sci., Hebei Normal Univ., Shi Jia Zhuang, China
Abstract :
Cyclic codes with two zeros and their dual codes have been a subject of study for many years. However, their weight distributions are known only for a few cases. In this paper, the weight distributions of the duals of the cyclic codes with two zeros are settled for a few cases. The weight distributions of punctured versions of these codes are also determined for several special cases.
Keywords :
cyclic codes; cyclic codes; dual codes; weight distributions; weight enumerator; Additives; Generators; Hamming weight; Linear code; Polynomials; Vectors; Cyclic codes; linear codes; weight distribution; weight enumerator;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2010.2090272
