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Computerised search for linear binary codes

Computerised search for linear binary codes

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A computerised search procedure is described for finding new binary codes The method involves the extension of a given known code by annexing a number of parity-check digits to it in such a way that the minimum Hamming distance of the given code is improved. A number of codes found by this procedure have better rates than the best known codes of identical Hamming distance and the same number of information digits; a table of these codes is presented.

References

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      • E.R. Berlekamp . (1984) , Algebraic coding theory.
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      • W.W. Peterson , E.J. Weldon . (1972) , Error-correcting codes.
    3. 3)
      • P.G. Farrell . Linear binary anticodes. Electron. Lett. , 419 - 421
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      • H.J. Helgert , R.D. Stinaff . Minimum-distance bounds for binary linear codes. IEEE Trans. , 344 - 356
    5. 5)
      • J.H. van Lint . (1971) , Coding theory.
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      • P.G. Farrell , A. Farrag . Further properties of linear binary anticodes. Electron. Lett. , 10 , 340 - 341
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