3 papers · ranked by Valyu relevance
Roberto Bruno, Roberto De Prisco, Ugo Vaccaro
This comprehensive survey examines the field of alphabetic codes, tracing their development from the 1960s to the present day. We explore classical alphabetic codes and their variants, analyzing their properties and the underlying mathematical and algorithmic principles. The paper covers the fundamental relationship…
Nadia Ben Atti, Gema M. Diaz–Toca, Henri Lombardi
Let K be an arbitrary field. Given a linearly recurrent sequence, denoted by S(x) = P∞ i=0 aix i , ai ∈ K, we wish to compute its minimal polynomial, denoted by P(x). Recall that if P(x) is given by P(x) = Pd i=0 pix i denotes such polynomial, then P(x) is the polynomial of the smallest degree such that Pd i=0 piaj+i =…
Lionel Zoubritzky, François-Xavier Coudert
We present here an open-source Julia library for the topological identification of crystalline materials, with algorithmic and computational improvements over the previously available software in the field, resulting in a speed increase of one order of magnitude. This new algorithm and implementation can therefore be…