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Methods and Apparatus in Alternate Finite Field Based Coders and Decoders
Methods and Apparatus in Alternate Finite Field Based Coders and Decoders
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机译：基于交替有限域的编码器和解码器的方法和装置
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摘要
Methods and apparatus for coding and decoding n-state symbols with n≧2 and n2 and n3 and n4 are provided with at least one implementation of a switching function based on an addition and a multiplication over an alternate finite field GF(n) wherein a zero element in not 0. Encoders and decoders implementing a single n-state truth table of an addition over an alternate finite field modified in accordance with at least one inverter defined by a multiplication over the alternate finite field are also provided. Coders include scramblers, Feedback Shift Register (FSR) based encoders, sequence generator based encoders, block coders, streaming cipher encoders, transposition encoders, hopping rule encoders, Feistel network based encoders, check symbol based encoders, Hamming coder, error correcting encoders, encipherment encoders, Elliptic Curve Coding encoders and all corresponding decoders, CRC coders and hash function generators. Systems applying encoders and decoders also are provided.
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