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Diskretnaya Matematika, 2017, Volume 29, Issue 2, Pages 96–108
DOI: https://doi.org/10.4213/dm1432 (Mi dm1432) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Biorthogonal wavelet codes with prescribed code distance

A. A. Soloviev, D. V. Chernikov

Chelyabinsk State University
Full-text PDF (444 kB) Citations (3)
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DOI: https://doi.org/10.4213/dm1432
Abstract: We propose a scheme of construction of 2-circulant codes with given code distance on the basis of biorthogonal filters with the property of perfect reconstruction over a finite filed of odd characteristic. The corresponding algorithm for constructing biorthogonal filters utilizes the Euclidean algorithm for finding the gcd of polynomials.
Keywords: wavelet codes, error-correcting coding, code distance.
Received: 07.09.2015
English version:
Discrete Mathematics and Applications, 2018, Volume 28, Issue 3, Pages 179–188
DOI: https://doi.org/10.1515/dma-2018-0017
Bibliographic databases:
Document Type: Article
UDC: 519.725
Language: Russian
Citation: A. A. Soloviev, D. V. Chernikov, “Biorthogonal wavelet codes with prescribed code distance”, Diskr. Mat., 29:2 (2017), 96–108; Discrete Math. Appl., 28:3 (2018), 179–188
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/dm1432
  • https://doi.org/10.4213/dm1432
  • https://www.mathnet.ru/eng/dm/v29/i2/p96
    • This publication is cited in the following 3 articles:
    1. D. V. Litichevskii, “Piramidalnaya skhema postroeniya biortogonalnykh veivlet-kodov nad konechnymi polyami”, PDM, 2021, no. 51, 101–119  mathnet  crossref
    2. D. V. Litichevskii, “Spisochnoe dekodirovanie veivlet-kodov”, Izv. IMI UdGU, 53 (2019), 115–126  mathnet  crossref  elib
    3. D. V. Litichevskii, “Spisochnoe dekodirovanie biortogonalnykh veivlet-kodov s zadannym kodovym rasstoyaniem v pole nechetnoi kharakteristiki”, PDM, 2018, no. 39, 72–77  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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    Abstract page:428
    Full-text PDF :69
    References:80
    First page:27
     
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