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A Serial-In-Serial-Out Hardware Architecture for Systematic Encoding of Hermitian Codes via Grobner Bases

机译:通过Grobner基础的串行串拔硬件架构,用于系统编码Hermitian Codes

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When a nontrivial permutation of a Hermitian code is given, the code will have a module structure over a polynomial ring of one variable. By exploiting the theory of Grobner bases for modules, a novel and elegant systematic encoding scheme for Hermitian codes is proposed in [1]. The goal of this paper is to develop a serial-in-serial-out hardware architecture, similar to a classical cyclic encoder, for such a systematic encoding schemes and demonstrates that the complexity of this architecture is much less than that of the brute-force systematic encoding by matrix multiplication.
机译:当给出呼气师代码的非竞争置换时,代码将在一个变量的多项式环上具有模块结构。通过利用组件的Grobner基地理论,[1]提出了一种新的隐士码的系统编码方案。本文的目标是开发类似于经典循环编码器的串行串行硬件架构,用于这种系统编码方案,并表明这种架构的复杂性远小于蛮力的复杂性矩阵乘法系统编码。

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