On the Minimum Distance Properties of Weighted Nonbinary Repeat Multiple-Accumulate Codes
Paper in proceeding, 2011

We consider weighted nonbinary repeat multiple- accumulate (WNRMA) code ensembles obtained from the serial concatenation of a nonbinary rate-1/n repetition code and the cascade of L≥1 accumulators, where each encoder is followed by a nonbinary random weighter. We derive the exact weight enumerator of nonbinary accumulators and subsequently give the weight enumerators for WNRMA code ensembles. We formally prove that the symbol-wise minimum distance of WNRMA code ensembles asymptotically grows linearly with the block length when L≥3 and n≥2, and L = 2 and n≥3, for all powers of primes q ≥ 3 considered, where q is the field size. Thus, WNRMA code ensembles are asymptotically good for these parameters.

Author

Alexandre Graell i Amat

Chalmers, Signals and Systems, Communication, Antennas and Optical Networks

Eirik Rosnes

2011 Information Theory and Applications Workshop

Areas of Advance

Information and Communication Technology

Subject Categories

Telecommunications

Other Electrical Engineering, Electronic Engineering, Information Engineering

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Created

10/7/2017