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Extension of the Smith construction for self orthogonal array codes

Extension of the Smith construction for self orthogonal array codes

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An extension of the Smith construction for self orthogonal array codes is presented. The information bit array, originally two dimensional, now becomes multidimensional. Array codes obtained with this construction are not self orthogonal. Decoding is rather more complex, but the codes are more efficient (have higher rates) than those of the Smith construction.

References

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      • R.J.C. Smith . Easily decodable efficient self-orthogonal block codes. Electron. Lett. , 7 , 173 - 174
    2. 2)
      • R.L. Townsend , E.J. Weldon . Self-orthogonal quasi-cyclic codes. IEEE Trans. , 183 - 195
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      • J.L. Massey . (1963) , Threshold decoding.
    5. 5)
      • P.G. Farrell . (1989) A survey of array error control codes, Advanced School on Geometries, Codes and Cryptography.
    6. 6)
      • G.C. Clark , J.B. Cain . (1981) , Error-correction coding for digital communications.
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