期刊名称:Current Journal of Applied Science and Technology
印刷版ISSN:2457-1024
出版年度:2013
卷号:4
期号:6
页码:929-944
语种:English
出版社:Sciencedomain International
摘要:Let A 0 ⊂ A 1 ⊂ ··· ⊂ A t−1 ⊂ A t be a chain of unitary commutative rings (each A i is constructed by the direct product of suitable Galois rings with multiplicative group A ∗ i of units) and K 0 ⊂ K 1 ⊂ ··· ⊂ K t−1 ⊂ K t be the corresponding chain of unitary commutative rings (each K i is constructed by the direct product of corresponding residue fields of given Galois rings, with multiplicative groups K ∗ i of units), where t is a non negative integer. In this work presents three different types of constructions of generator polynomials of sequences of BCH codes having entries from A ∗ i and K ∗ i for each i, where 0 ≤ i ≤ t.