交错加比度林码的快速译码

V. Sidorenko, A. Wachter-Zeh, Di Chen
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引用次数: 7

摘要

随机网络编码可以采用秩距为d的L个Gabidulin码的交错或直接和。对于Fqm上的码,提出了一种快速译码算法,对秩高概率误差进行纠错,纠错概率最高可达L / L+1(d-1)。该算法基于快速斜反馈移位寄存器合成,对于固定L,基域Fq的运算时间复杂度为0 (m3logm)。
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On fast decoding of interleaved Gabidulin codes
Interleaving or the direct sum of L Gabidulin codes with rank distance d can be applied for random network coding. For the codes over Fqm a fast decoding algorithm is proposed correcting with high probability errors of rank up to L over L+1(d-1). The algorithm is based on fast skew-feedback shift-register synthesis and for fixed L has time complexity O(m3logm) operations in the base field Fq.
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