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cs.IT2011
On Quasi-Cyclic Codes as a Generalization of Cyclic Codes
Morgan Barbier, Christophe Chabot, Guillaume Quintin
In this article we see quasi-cyclic codes as block cyclic codes. We generalize some properties of cyclic codes to quasi-cyclic ones such as generator polynomials and ideals. Indeed…
math.NT2011
An algorithm for list decoding number field codes
Jean-François Biasse, Guillaume Quintin
We present an algorithm for list decoding codewords of algebraic number field codes in polynomial time. This is the first explicit procedure for decoding number field codes whose c…