On Choice of Connection-Polynominals for LFSR-Based Stream Ciphers

Here I suggest a design criterion for the choice of connection-polynomials in LFSR-based stream-cipher systems. I give estimates of orders of magnitude of the sparse-multiples of primitive-polynomials. I show that even for reasonable degrees (degrees of the order of 100) of primitive connection-polynomials the degrees of their sparse-multiples are "considerably higher".