The Eigenvalues and Relation Vectors of (1;b;p)-set Codes and Their Graphs |
Common terms and phrases
1;b;p)-set code graph Ae-matrix algorithms associated frequency coefficients Aut(G automorphism group b-set b₁ binary vectors bipartite graph bit nodes calculate CALIFORNIA SANTA CRUZ CANTA Chapter columns comb compute core CRUZ The University d(b₂,P₁ d₂ Definition e₁ e₂ edge vector(space edge-to-edge adjacency matrix edges ex edges labelled eigen eigenvalues of H Error-Correcting Codes ex,e example exists a permutation Figure graph is 1-transitive H-matrix i₁ incidence matrix Invariants ith associates Johnson association scheme Library The University linear code linear programming minimum distance N.J.A. Sloane null matrix number of edges number of paths p-set p₁ P₂ P2 d₁ P2 di d2 parity nodes possible 4-tuples Proof R₁ R₂ reduced graph Reed-Muller Codes relation vectors SANTA CRUZ UNIVERSITY set code 4-tuple set of relations Theorem thesis tion total graph associated transforms an edge University Library UNIVERSITY UNIVERSITY OF CALIFORNIA UNIVERSITY OF CALIFORNIA/SANTA Vandermonde matrix