Let r, B and w be positive integers. Let C be a linear code of length Bw and subspace of Fr 2. The k-regular-decoding problem is to find a nonzero codeword consisting of w length...
Fix positive integers B and w. Let C be a linear code over F2 of length Bw. The 2-regular-decoding problem is to find a nonzero codeword consisting of w length-B blocks, each of w...
Daniel J. Bernstein, Tanja Lange, Christiane Peter...
ABSTRACT. A graphical realization of a linear code C consists of an assignment of the coordinates of C to the vertices of a graph, along with a specification of linear state spaces...
We characterize the traceability properties of linear codes. It is well known that any code of length n and minimum distance d is a c-TA code if c2 < n/(n−d). In this paper, w...
Marcel Fernandez, Josep Cotrina Navau, Miguel Sori...
In this paper, we study the rank distributions of linear codes. We give the analogous to the MacWilliams identity for the rank distributions of codes. The considerations of our pr...