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Codes over subsets of algebras obtained by the Cayley-Dickson process (1505.07958v1)
Published 29 May 2015 in cs.IT and math.IT
Abstract: In this paper, we define binary block codes over subsets of real algebras obtained by the Cayley-Dickson process and we provide an algorithm to obtain codes with a better rate. This algorithm offers more flexibility than other methods known until now, similar to Lenstra algorithm on elliptic curves compared with Pollard algorithm.
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