Titlebook: Algebraic Coding Theory and Applications; G. Longo Book 1979 CISM Udine 1979 algebra.coding.coding theory

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Array Codes,dimensions (which need not be orthogonal). Array codes can be used for multiple randan-error detection and correction, for burst-error detection and correction, and for detecting and correcting clusters or patches of errors. They are particularly useful when the data to be protected is presented in

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Generalized quadratic-residue codes,assical) quadratic residue codes (QR-codes). A year earlier H.N. Ward (cf. [8]) had used symplectic geometry to introduce a generalization of QR-codes. Both presentations rely heavily on abstract algebra. Essentially such codes (at least in the binary case) were introduced by Ph. Del-sarte in 1971 (

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Towards the maximum-likelihood decoding of long convolutional codes,cause of the exponential growth in complexity with increasing constraint length. The minimum distance decoding algorithm proposed in the paper, however, uses a sequential decoding approach to avoid an exponential growth in complexity with increasing constraint length, and also utilises the distance

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Decidability of Parameterized Verificationemodulator (see fig. 1(b)). However, some of the information which would be lost by only correlating over a signal element can be used to assist and improve the decoding process, and vice-versa. Additional information can be fed forward from the demodulator to improve operation of the decoder, or fe

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