We have derived a lower bound on the linear span of a binary sequence generated by a Feedback with Carry Shift Register (FCSR) under the following condition: q is a power of a prime such that q = re(e ≥ 2) and r (= 2p + 1), where both r and p are 2-prime. This allows us to design FCSR stream ciphers similar to previously proposed Linear Feedback Shift Register (LFSR) stream ciphers.
- 2-adic span
- Feedback with carry shift register (FCSR)
- Linear feedback shift register (LFSR)
- Linear span
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Information Systems