Ergodic Theory Over {\F}_2[[T]]

In cryptography and coding theory, it is important to study the pseudo-random sequences and the ergodic transformations. We already have the $1$-Lipshitz ergodic theory over ${\Z}_2$ established by V. Anashin and others. In this paper we present an ergodic theory over {\F}_2[[T]] and some ideas which might be very useful in applications

ERGODIC THEORY OVER F2[[T]]

Abstract. In cryptography and coding theory, it is important to study the pseudo-random sequences and the ergodic transformations. We already have the 1-Lipshitz ergodic theory over Z2 established by V. Anashin and others. In this paper we present an ergodic theory over F2[[T]] and some ideas which might be very useful in applications