Research Article
A blind signature scheme based on new cyclic groups
DOI:
10.2989/16073606.2026.2625348
Author(s):
Elahe MehrabanMathematics Research Center, Near East University TRNC, Turkey, T. Aaron GulliverDepartment of Electrical and Computer Engineering, University of Victoria, Canada, Evren HincalMathematics Research Center, Near East University TRNC, Turkey,
Keywords:
Primary: Primary: 11B39, 20F05, Secondary: Secondary: 20D60, 68R01, 68P30, Period, Fibonacci sequence, Lehmer sequence, Mersenne sequence, blind signature,
Abstract
In this paper, the Fibonacci, Lehmer, and Mersenne sequences are used to define new sequences named the Hadamard-type Fibonacci-Lehmer sequences and Mersenne-Lehmer sequences, and some results regarding them are given. Then these sequences are employed to introduce new cyclic groups. As an application, a blind signature scheme is presented which uses these groups. This is a new use of group theory in cryptography.
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