Geometric spaces and efficient codes
Copyright policy )Geometric spaces and efficient codes
The theory of geometric spaces is used to construct new efficient error control codes. The emphasis is on single error correcting-double error detecting codes. Both encoding and decoding algorithms are given and analysed. A comparison is given with a shortened Hamming code to show that the new codes provide faster and less complex circuits for the whole coding process. The paper begins with a careful introduction of the basic ideas and proceeds gently to more complex considerations using several of the basic ideas of coding theory.
- Oregon State University United States
- University of Teramo Italy
parallel encoding, single error correcting-double error detecting codes, Decoding, error detection, geometric spaces, encoding, decoding algorithms, error control codes, Linear codes (general theory)
parallel encoding, single error correcting-double error detecting codes, Decoding, error detection, geometric spaces, encoding, decoding algorithms, error control codes, Linear codes (general theory)
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