Geodesic
Biorthogonal wavelet code in fields of characteristic two
Čelâbinskij fiziko-matematičeskij žurnal, Tome 2 (2017) no. 1, pp. 66-79

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In this paper we propose a scheme for the constructing of error-correcting cyclic wavelet codes on the basis of the biorthogonal transformation over finite fields of the even characteristic. The method of such codes constructing uses the Euclidean algorithm of the polynomials greatest common divisor calculating. It simplifies the possibility of the constructing of wavelet codes with specified properties. It is proved that there are wavelet codes with a given code distance.
Keywords: polyphasic scheme, biorthogonal transform, wavelet code, finite field. 
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     author = {A. A. Soloviev and D. V. Chernikov},
     title = {Biorthogonal wavelet code in fields of characteristic two},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {66--79},
     publisher = {mathdoc},
     volume = {2},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2017_2_1_a6/}
}
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A. A. Soloviev; D. V. Chernikov. Biorthogonal wavelet code in fields of characteristic two. Čelâbinskij fiziko-matematičeskij žurnal, Tome 2 (2017) no. 1, pp. 66-79. http://geodesic.mathdoc.fr/item/CHFMJ_2017_2_1_a6/