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On the Minimum Dist...
On the Minimum Distance Properties of Weighted Nonbinary Repeat Multiple-Accumulate Codes
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- Graell i Amat, Alexandre, 1976 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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Rosnes, Eirik, 1975 (author)
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(creator_code:org_t)
- 2011
- 2011
- English.
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In: 2011 Information Theory and Applications Workshop.
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Abstract
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- 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.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Telekommunikation (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Telecommunications (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Annan elektroteknik och elektronik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Other Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)
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