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2010•Unpublished venueRequires access

The method of estimating the length of linear cyclic code based on the distribution of code weight

Lei Wang, Yihua Hu, Shiqi Hao, Lin Qi

Open publisher page 5 citations

Abstract

The definition and matrix description of linear cyclic code is introduced in this paper first. Then the distribution of code weight is analyzed. The distance of code weight distribution is defined according to distance of vectors. The theoretic probability of code weight of random sequence is ratiocinated. The method to estimate code weight distribution of actual sequence is established and the code length and start are estimated by the distance between the code weight distribution. The capability of abiding error code of this method is analyzed. The results of simulating experiment to different length code show that this method can estimate code length and start effectively when BER is 10−2.

About this research paper

What this paper is about

The definition and matrix description of linear cyclic code is introduced in this paper first. Then the distribution of code weight is analyzed. The distance of code weight distribution is defined according to distance of vectors. The theoretic probability of code weight of random sequence is ratiocinated. The method to estimate code weight distribution of actual sequence is established and the code length and start are estimated by the distance between the code weight distribution. The capability of abiding error code of this method is analyzed. The results of simulating experiment to different length code show that this method can estimate code length and start effectively when BER is 10−2.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The definition and matrix description of linear cyclic code is introduced in this paper first. Then the distribution of code weight is analyzed. The distance of code weight distribution is defined according to distance of vectors. The theoretic probability of code weight of random sequence is ratiocinated. The method to estimate code weight distribution of actual sequence is established and the code length and start are estimated by the distance between the code weight distribution. The capability of abiding error code of this method is analyzed. The results of simulating experiment to different length code show that this method can estimate code length and start effectively when BER is 10−2.

Key concepts: Cyclic code, Code (set theory), Constant-weight code, Weight distribution, Dual code, Universal code, Systematic code, Polynomial code

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