Publications [#343581] of Robert Calderbank

Journal articles or Book chapters PUBLISHED

1. Calderbank, R, A Good Method of Combining Codes, Linear Algebra and Its Applications, vol. 32 (January, 1980), pp. 115-124 [doi]
   (last updated on 2026/01/18)

   Abstract:
   Let q be an odd prime power, and suppose q−1 (mod8), Let C(q) and C(q)^∗ be the two extended binary quadratic residue codes (QR codes) of length q+1, and let T(q)={(a+x;b+x;a+b+x):a,b∈C(q),x∈C(q)^∗}. We establish a square root bound on the minimum weight in T(q). Since the same type of bound applies to C(q) and C(q)^∗, this is a good method of combining codes. © 1980, All rights reserved.