In this paper we propose an algorithm for computing large primes p and q such that q divides p + p + p + p + p + p + 1 or p − p + p − p + p − p + 1. Such primes are the key parameters for the cryptosystem based on the 7th order characteristic sequences.

The cross sections for the reactions of the strange production p + p → p + Λ + K+ and p + p → p + Σ0 + K+ near thresholds of the final states pΛK+ and pΣ0K+ are calculated in the effective Lagrangian approach. Our approach is based on the dominant contribution of the one–pion exchange and strong interaction of the colliding protons in the initial state. The theoretical values of the cross secti...

In this paper we propose an algorithm for computing large primes p and q such that q divides p + p + p + p + p + p + 1 or p − p + p − p + p − p + 1. Such primes are the key parameters for the cryptosystem based on the 7th order characteristic sequences.