List decoding of number field codes

被引：4

作者：

Coxon, Nicholas ^{[1
]}

机构：

[1] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2014年 / 72卷 / 03期

关键词：

Number field codes; Chinese remainder codes; List decoding; FACTORING POLYNOMIALS; REED-SOLOMON; ALGORITHM; EQUATIONS;

D O I：

10.1007/s10623-013-9803-x

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper presents a list decoding algorithm for the number field codes of Guruswami (IEEE Trans Inf Theory 49:594-603, 2003). The algorithm is an implementation of the unified framework for list decoding of algebraic codes of Guruswami, Sahai and Sudan (Proceedings of the 41st Annual Symposium on Foundations of Computer Science, 2000), specialised for number field codes. The computational complexity of the algorithm is evaluated in terms of the size of the inputs and field invariants.

引用

页码：687 / 711

页数：25

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