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VLSI design of inverse-free Berlekamp—Massey algorithm

VLSI design of inverse-free Berlekamp—Massey algorithm

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© The Institution of Electrical Engineers
Published

The Berlekamp-Massey algorithm for decoding BCH codes is modified to eliminate the calculation of inverses. This new algorithm is useful in the practical application of multiple-error-correcting BCH or RS codes. A VLSI architecture is developed for this algorithm.

Inspec keywords: iterative methods; decoding; application specific integrated circuits; VLSI; codes; microprocessor chips

Other keywords: decoding; inverse-free Berlekamp-Massey algorithm; multiple error correcting RS codes; iterative algorithm; VLSI architecture; VLSI design; multiple error correcting BCH codes

Subjects: Semiconductor integrated circuits; Codes; Information theory; Interpolation and function approximation (numerical analysis); Interpolation and function approximation (numerical analysis); Microprocessors and microcomputers; Microprocessor chips; Data handling techniques

References

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      • G.D. Forney . On decoding BCH codes. IEEE Trans. , 549 - 557
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      • L.R. Welch , R.A. Scholtz . Continued fractions and Berlekamp's algorithm. IEEE Trans. , 19 - 27
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      • H.O. Burton . Inversionless decoding of binary BCH codes. IEEE Trans. , 4 , 464 - 466
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      • E.R. Berlekamp . (1984) , Algebraic coding theory.
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      • J.L. Massey . Shift-register synthesis and BCH decoding. IEEE Trans. , 122 - 127
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