In this pa-per,we define theλ-period distribution and the generalλ-period dis-tribution of error-correcting codes over finite field Fq on the basis ofprevious work,and show that they have some properties which are anal-ogous in some respects to properties of the period distribution and thegeneral period distribution of error-correcting codes over Fq.

In this pa-per,we define theλ-period distribution and the generalλ-period dis-tribution of error-correcting codes over finite field Fq on the basis ofprevious work,and show that they have some properties which are anal-ogous in some respects to properties of the period distribution and thegeneral period distribution of error-correcting codes over Fq.

In this paper, some properties of general period for linear codes are studied and its algebraic structures are prelimnarily constructed.

The present paper describes the characterizations of generalized periodic rings and proves that a semiprime generalized periodic ring is either commutative or a direct sum of a nil ring and a P2ring, that is, for any element x there exists an even integer n such that xn=x.

A ring R is called a generalized periodic ring,if for every x∈R there exist a positive integer n=n(x) depending on x and a polynomial fx(t)∈Z[t] such that xn(x)=xn(x)+1fx(x).

Notes on period distribution for two classes hamming codes;

The calculation formulae for period distribution of q-ary BCH codes with designed distance 7 were obtained based on the discussion of cyclotomic cosets and property of cyclotomic polynomials: the period distribution is q s power.

The period distribution of q-ary BCH codes is studied by some important theory functions and cyclotomic coset,and the number of non-periodic equivalence classes of q-ary BCH codes with design 5 is given.