In this paper, we consider the Goppa codes, their decoding algorithms, their application in practice, and also the special properties of using the patterson algorithm in the case of its use for decoding separable bina...
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ISBN:
(纸本)9781728122885
In this paper, we consider the Goppa codes, their decoding algorithms, their application in practice, and also the special properties of using the patterson algorithm in the case of its use for decoding separable binary Goppa codes.
In this contribution we show how to find y(x) in the polynomial equation y(x)(p) = t(x) mod f(x), where t(x), y(x) and f(x) are polynomials over the field GF(p(m)). The solution of such equations are thought for in ma...
详细信息
In this contribution we show how to find y(x) in the polynomial equation y(x)(p) = t(x) mod f(x), where t(x), y(x) and f(x) are polynomials over the field GF(p(m)). The solution of such equations are thought for in many cases, e.g.. for p = 2 it is a step in the so-called patterson algorithm for decoding binary Goppa codes.
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