Biorthogonal wavelet codes with prescribed code distance
Alexander A. Soloviev, Dmitry Vladimirovich Chernikov · Discrete Mathematics and Applications · 2018
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.