Based on the weight distribution of MDS codes, the probabilities of decoding error and decoding failure for incomplete decoder were obtained.

Optimal energy allocation based on the distribution of low weight codewords for 3 GPP interleaver;

For the blind recognition of low code-rate binary linear block codes in information interception,the method of estimating code length is proposed based on the distance of weight distribution;furthermore,through improving the traditional simplification of matrices,a generator matrix is achieved and the blind recognition of low code-rate binary linear block codes is realized.

It was found that the code length distribution was closely correlated with the shift symmetry properties of synchronized coding and was characterized by sequencing and non-integral power of 2.

In this paper, based on the construct principle of synchronized variable length codes (SVLC), after dividing code table into code group by code length and dividing code group into sub code group by the first n bits, an iterative algorithm to count code length distribution of code group and sub code group of SVLC is derived.

It is found that the error resiliency of SVLC is related with its code distance distribution.