Geodesic
Error-correcting codes using biorthogonal filter banks
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 704-713

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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. 
@article{SEMR_2015_12_a56,
     author = {D. V. Chernikov},
     title = {Error-correcting codes using biorthogonal filter banks},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {704--713},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a56/}
}
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D. V. Chernikov. Error-correcting codes using biorthogonal filter banks. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 704-713. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a56/