17 citations · 77 across the 48 of their papers we have counts for
4 papers · 1 filter
Codes over subsets of algebras obtained by the Cayley-Dickson process
Cristina Flaut
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. Thi…
Some connections between binary block codes and Hilbert algebras
Cristina Flaut
In this paper, we will study some connections between Hilbert al- gebras and binary block-codes.With these codes, we can eassy obtain orders which determine suplimentary properties…
Some remarks about Fibonacci elements in an arbitrary algebra
Cristina Flaut, Vitalii Shpakivskyi
In this paper, we prove some relations between Fibonacci elements in an arbitrary algebra. Moreover, we define imaginary Fibonacci quaternions and imaginary Fibonacci octonions and…
Quaternion algebras and the generalized Fibonacci-Lucas quaternions
Cristina Flaut, Diana Savin
In this paper, we introduce the generalized Fibonacci-Lucas quaternions and we prove that the set of these elements is an order,in the sense of ring theory, of a quaternion algebra…