English

Perspectives on Balanced Sequences

Information Theory 2013-01-29 v1 math.IT

Abstract

We examine and compare several different classes of "balanced" block codes over q-ary alphabets, namely symbol-balanced (SB) codes, charge-balanced (CB) codes, and polarity-balanced (PB) codes. Known results on the maximum size and asymptotic minimal redundancy of SB and CB codes are reviewed. We then determine the maximum size and asymptotic minimal redundancy of PB codes and of codes which are both CB and PB. We also propose efficient Knuth-like encoders and decoders for all these types of balanced codes.

Keywords

Cite

@article{arxiv.1301.6484,
  title  = {Perspectives on Balanced Sequences},
  author = {Jos H. Weber and Kees A. Schouhamer Immink and Paul H. Siegel and Theo G. Swart},
  journal= {arXiv preprint arXiv:1301.6484},
  year   = {2013}
}

Comments

12 pages

R2 v1 2026-06-21T23:16:16.337Z