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- W2169484518 abstract "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 Her- mitian codes is proposed by Heegard et al.. 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 scheme. Moreover, we demonstrate that under a specific permutation, the upper bounds of the numbers of memory elements and constant multipliers in the proposed architecture are both proportional to , where is the length of the Hermitian code. To encode a codeword of length , this architecture takes clock cycles without any latency. Therefore, the hardware complexity of the proposed architecture is much less than that of the brute-force systematic encoding by matrix multiplication." @default.
- W2169484518 created "2016-06-24" @default.
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- W2169484518 date "2003-01-01" @default.
- W2169484518 modified "2023-09-26" @default.
- W2169484518 title "A serial-in-serial-out hardware architecture for systematic encoding of hermitian codes via grobner bases" @default.
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- W2169484518 doi "https://doi.org/10.1109/isit.2003.1228345" @default.
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