Efficient Calculation of the Weight Distributions for Linear Codes over Large Finite Fields
نویسندگان
چکیده
In an error correcting code, the performance of a specific linear code is dependent on the minimum weight and the weight distribution of the code. Therefore it is very importance to know or calculate the minimum weight and the weight distribution of a code. In this paper we propose a very efficient calculation method for the minimum weight and the weight distribution for linear codes over large finite fields. Computation results show that our algorithm is much faster than Magma, the computational algebra system, for the minimum weight and the weight distribution of specific random linear codes over large finite fields.
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تاریخ انتشار 2016