Algebraic Coding Theory : Recent Developments Related to the Integers Mod 4
N.J.A. Sloane · Kyoto University Research Information Repository (Kyoto University) · 1995
This talk is intended to serve as an introduction to a number of recent papers by various authors that make use of codes over $Z_{4}$ (the integers modulo 4) to greatly simplify the construc- tion of a number of notorious nonlinear binary codes, in particular the codes of Nordstrom- Robinson, Preparata, Kerdock, Goethals, Delsarte-Goethals, Best and Julin.By expanding classical coding theory in this way, allowing alphabets that are rings rather than fields, we are able to give extremely simple descriptions of these codes.