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A class of generalized RS-codes with faster encoding and decoding algorithms

机译:一类具有更快编码和解码算法的通用RS码

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In this paper we study a particular class of generalized Reed-Solomon codes and introduce encoding and decoding algorithms for such codes that speed up current hardware implementations by a factor p wherein p can be any divisor of the size of the multiplicative group of the underlying field. In many cases, p can be chosen to be 3, for example. In some cases, for example when the size of the base field is 256, the speed-up factor can be as large as 15 at the expense of very little increase in the hardware area.
机译:在本文中,我们研究了一类特殊的广义Reed-Solomon码,并介绍了针对此类码的编码和解码算法,这些编码和解码算法可将当前的硬件实现速度提高p倍,其中p可以是基础场的乘法组大小的任意因数。例如,在许多情况下,p可以选择为3。在某些情况下,例如,当基本字段的大小为256时,加速因子可以高达15,而硬件面积的增加很少。

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