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cs.IT2019
Finding a Generator Matrix of a Multidimensional Cyclic Code
R. Andriamifidisoa, R. M. Lalasoa, T. J. Rabeherimanana
We generalize Sepasdar's method for finding a generator matrix of two-dimensional cyclic codes to find an independent subset of a general multicyclic code, which may form a basis o…
cs.IT2019
A Dynamical System-based Key Equation for Decoding One-Point Algebraic-Geometry Codes
Ramamonjy Andriamifidisoa, Rufine Marius Lalasoa, Toussaint Joseph Rabeherimanana
A closer look at linear recurring sequences allowed us to define the multiplication of a univariate polynomial and a sequence, viewed as a power series with another variable, resul…