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June-2019
eISSN: 2349-5162
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Journal of Emerging Technologies and Innovative Research ( An International Scholarly Open Access Journal, Peer-reviewed, Refereed Journal )
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UGC Approved Journal no 63975(19)
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UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975
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Published Paper ID:
JETIR1906R21
Registration ID:
217451
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Title
STUDY ON REED-MULLER CODES ACHIEVE CAPACITY USING ALGEBRA
Authors
Abstract
An important consequence of this result is that a sequence of Reed-Muller codes with converging rate achieves capacity and increasing block length. This case has been suggested previously in the literature, but it has only been proven for cases where the limiting code rate is 0 or 1. The technique applies to any sequence of linear codes where the block lengths are strictly increasing, the code rates converge, and each code of permutation group is doubly transitive.
Key Words
Encoding algorithms,Monotone Boolean functions, Reed-Muller codes.
Cite This Article
"STUDY ON REED-MULLER CODES ACHIEVE CAPACITY USING ALGEBRA", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.888-891, June 2019, Available :http://www.jetir.org/papers/JETIR1906R21.pdf
ISSN
2349-5162 | Impact Factor 7.95 Calculate by Google Scholar
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
Cite This Article
"STUDY ON REED-MULLER CODES ACHIEVE CAPACITY USING ALGEBRA", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp888-891, June 2019, Available at : http://www.jetir.org/papers/JETIR1906R21.pdf
Publication Details
Published Paper ID: JETIR1906R21
Registration ID: 217451
Published In: Volume 6 | Issue 6 | Year June-2019
Page No: 888-891
Country: sivanganga, TAMIL NADU, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication
Published Paper URL :: https://www.jetir.org/view?paper=JETIR1906R21
Published Paper PDF: https://www.jetir.org/papers/JETIR1906R21
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