New Quasi-Cyclic Codes from Finite Upper Half-Planes
International journal of information and coding theory(2020)
摘要
Finite upper half-planes can be seen as a natural environment to generate error-correcting codes. Current work analyses some properties of these spaces to generate new classes of quasi-cyclic error-correcting codes. These codes may be generated using the norm or the distance in these spaces. Using properties of the sets, we also propose a decoding algorithm.
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关键词
error-correcting codes,quasi-cyclic codes,upper half-planes,finite fields,decoding
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