English

Codes over subsets of algebras obtained by the Cayley-Dickson process

Information Theory 2015-06-01 v1 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.

Keywords

Cite

@article{arxiv.1505.07958,
  title  = {Codes over subsets of algebras obtained by the Cayley-Dickson process},
  author = {Cristina Flaut},
  journal= {arXiv preprint arXiv:1505.07958},
  year   = {2015}
}