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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2015 Volume 12, Pages 704–713 (Mi semr619)

This article is cited in 8 papers

Discrete mathematics and mathematical cybernetics

Error-correcting codes using biorthogonal filter banks

D. V. Chernikov

Chelyabinsk State University, 129 Bratiev Kashirinykh st., 454001, Chelyabinsk, Russia

Abstract: The paper presents the error-correcting coding scheme using biorthogonal filter banks and the method of construction of such mappings using the Euclidean algorithm of calculating the GCD in the ring of polynomials over a finite field.

Keywords: error-correcting coding, biorthogonal transforms, biorthogonal filter banks, perfect reconstruction filter banks, wavelet transform over a finite field.

UDC: 519.725

MSC: 11T71

Received December 21, 2014, published October 14, 2015

DOI: 10.17377/semi.2015.12.056



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