Iharantsoa Vero Raharinirina

On Hyperoctahedral Enumeration System, Application to Signed Permutations

Iharantsoa Vero Raharinirina · Asian Research Journal of Mathematics · 2020

In this paper, we give the definition and basic facts about hyperoctahedral number system. There is a natural correspondence between the integers expressed in the latter and the elements of the hyperoctahedral group when we use the inversion statistic on this group to code the si...

Open access Research Article 10.9734/arjom/2020/v16i830207

Use of Signed Permutations in Cryptography

Iharantsoa Vero Raharinirina · Journal of Advances in Mathematics and Computer Science · 2020

In this paper we consider cryptographic applications of the arithmetic on the hyperoctahedral group. On an appropriate subgroup of the latter, we particularly propose to construct public key cryptosystems based on the discrete logarithm. The fact that the group of signed permutat...

Open access Research Article 10.9734/jamcs/2020/v35i130237