Geodesic
Biorthogonal wavelet codes with prescribed code distance
Diskretnaya Matematika, Tome 29 (2017) no. 2, pp. 96-108

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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. 
@article{DM_2017_29_2_a7,
     author = {A. A. Soloviev and D. V. Chernikov},
     title = {Biorthogonal wavelet codes with prescribed code distance},
     journal = {Diskretnaya Matematika},
     pages = {96--108},
     publisher = {mathdoc},
     volume = {29},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2017_29_2_a7/}
}
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A. A. Soloviev; D. V. Chernikov. Biorthogonal wavelet codes with prescribed code distance. Diskretnaya Matematika, Tome 29 (2017) no. 2, pp. 96-108. http://geodesic.mathdoc.fr/item/DM_2017_29_2_a7/