A Fast Matrix Decoding Algorithm For Rank-error-correcting Codes

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Cite this paper as: Gabidulin E.M. (1992) A fast matrix decoding algorithm for rank-error-correcting codes. In: Cohen G., Lobstein A., Zémor G., Litsyn S. (eds) Algebraic Coding.

If H is a parity-check matrix for the linear code C, then. If wt(e) ≤ 1 then the syndrome of r = HeT is just a scalar multiple of a column of H. This observation leads to a simple decoding algorithm for 1-error correcting linear codes.

In this paper, transmitted signals are considered as square matrices of the Maximum rank distance (MRD) (n, k, d)-codes. A new composed decoding algorithm is proposed.

In particular, block Wiedemann methods are nowadays able to tackle large sparse matrix problems because they.

Gabidulin E.M.: A fast matrix decoding algorithm for rank-error-correcting codes. In: Cohen G., Litsyn S., Lobstein A., Zemor G. (eds.) Lecture Notes in Computer Science vol 573. pp. 126-133 Springer-Verlag (1991).Google Scholar.

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Fast decoding of Gabidulin codes | SpringerLink – Gabidulin E.: A fast matrix decoding algorithm for rank-error-correcting codes. In: Cohen, G., Lobstein, A., Zémor, G., Litsyn, S. (eds) Algebraic Coding, Lecture Notes in Computer Science, vol. 573, chap. 16., pp. 126-133.

Different from conventional channel codes. matrix. We design horizontal unit processors with the proposed tables for iterative computing. Our analyses show that the proposed fast algorithm can reduce multiplications by nearly 90%.

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