P. Klimov

collaborators

2 papers

math.GR2026

Universal Fibonacci sequences and UFS-groupoids

Petr Klimov

In a binary groupoid $(G, *)$ , a Fibonacci sequence is a recurrent sequence defined by $f_{1} = a, f_{2} = b, \dots, f_{n} = f_{n - 2} * f_{n - 1}$ . A universal Fibonacci sequence (UFS)…

cs.IT2026

On the Construction of Recursively Differentiable Quasigroups and an Example of a Recursive $[4, 2, 3]_{26}$ -Code

Petr Klimov

In 1998, E. Couselo, S. González, V. T. Markov, and A. A. Nechaev introduced the notions of recursive codes and recursively differentiable quasigroups. They conjectured that recurs…

Universal Fibonacci sequences and UFS-groupoids

On the Construction of Recursively Differentiable Quasigroups and an Example of a Recursive [4,2,3]26​-Code

On the Construction of Recursively Differentiable Quasigroups and an Example of a Recursive $[4, 2, 3]_{26}$ -Code