On calculation of the interweight distribution of an equitable partition
arXiv:1303.0002 · doi:10.1007/s10801-013-0492-3
Abstract
We derive recursive and direct formulas for the interweight distribution of an equitable partition of a hypercube. The formulas involve a three-variable generalization of the Krawtchouk polynomials. Keywords: equitable partition; regular partition; partition design; strong distance invariance; interweight distribution; distance distribution; Krawtchouk polynomial
12 pages. V2: revised; 3'd formula for W added; new examples. V3: minor revision; ISI^{-1} replaced by S^T