English

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

Combinatorics 2013-02-21 v3

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{\Z}_2 established by V. Anashin and others. In this paper we present an ergodic theory over \F2[[T]]{\F}_2[[T]] and some ideas which might be very useful in applications.

Cite

@article{arxiv.1103.2968,
  title  = {Ergodic Theory Over ${\F}_2[[T]]$},
  author = {Dongdai Lin and Tao Shi and Zifeng Yang},
  journal= {arXiv preprint arXiv:1103.2968},
  year   = {2013}
}

Comments

18 pages, some typos corrected, exposition improved

R2 v1 2026-06-21T17:39:49.547Z