Method of transmission, with the possibility of correcting burst

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371 37, G06F 1110

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047544589

ABSTRACT:
A method and apparatus for transmitting information while correcting bursts of errors is described. The technique uses a calculation of coefficients of code words by obtaining polynomials from the factorization over a field of elements. On transmitting, a product of a plurality of polynomials is obtained and this product is divided by another polynomial to obtain coefficients. On reception, a reciprocal of the polynomial is used and coefficients are also calculated. By summing the most significant coefficients of the polynomials, corrected bits of the message are obtained.

REFERENCES:
patent: 4498178 (1985-02-01), Ohashi
patent: 4665523 (1987-05-01), Citron
"Bit-Serial Reed-Solomon Encoders" by E. R. Berlekamp, IEEE Transactions on Information Theory, vol. iT-28, No. 6, Nov. 1982, pp. 869-874.
Archiv Fur Elektronik und Ubertragungstechnik: vol. 38, No. 5, Sep.-Oct. 1984, Wurzburg, DE; Article by M. Progler et al., "Realisierung Algebraischer Fehlerkorrektur mit Standard-Mikrorechnern" pp. 281 to 289.
IEEE Transactions on Information Theory: vol. IT-19, No. 5, Sep. 1973; Article by E. R. Berlekamp "Goppa Codes" pp. 590 to 592.
IEEE Transactions on Computers: vol. C-33, No. 2, Feb. 1984, New York; Article by Kuang Yung Liu "Architecture for VLSI Design of Reed-Solomon Decoders" pp. 178 to 189.
The Transactions of the IECE of Japan: vol. E 64, No. 10, Oct. 1981, Tokyo; Article by E. Fujiwara et al., "Fault-Tolerant Arithmetic Logic Unit Using Parity-Based Codes" pp. 653 to 660.

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