Taking pth roots modulo polynomials over finite fields

被引：1

作者：

Huber, K ^{[1
]}

机构：

[1] T Syst Nova GmbH, Deutsch Telekom AG, ES 21A, D-64276 Darmstadt, Germany

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2003年 / 28卷 / 03期

关键词：

finite fields; frobenius mapping; Patterson Algorithm;

D O I：

10.1023/A:1024118322745

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

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(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.

引用

页码：303 / 311

页数：9

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