New cyclic groups based on the generalized order-k Pell sequences in the Heisenberg group and their application in cryptography

E Mehraban, TA Gulliver, E Hincal - Applicable Algebra in Engineering …, 2024 - Springer
In this paper, we consider the finite groups H (t, l, m)=⟨ a, b, c| at= bl= cm= 1,[a, b]= c,[a,
c]=[b, c]= 1⟩. We obtain the generalized order-k Pell sequences and study their periods. We …