Divisible Code Theorem of Ax Reed-Muller Code Group Algebra Delsarte-Mceliece Theorem Polarization Self-Dual Code Gleason-Pierce Theorem Griesmer Bound Optimal Code
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 27, No 4, (2001), 263p-278p
This paper surveys parts of the study of divisibility properties of codes.
The survey begins with the motivating background involving
polynomials over finite fields. Then it presents recent results on bounds and
applications to optimal codes.