Taking pth Roots Modulo Polynomials over Finite Fields

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作者
Klaus Huber
机构
[1] ES 21a,
[2] Deutsche Telekom AG,undefined
[3] T-Systems Nova GmbH,undefined
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关键词
finite fields; frobenius mapping; patterson algorithm;
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摘要
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(pm). 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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页码:303 / 311
页数:8
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