Publications [#236035] of Robert Calderbank

Papers Published

1. Calderbank, AR; Fishburn, PC, Maximal three-independent subsets of {0, 1, 2}ⁿ, Designs, Codes and Cryptography, vol. 4 no. 4 (October, 1994), pp. 203-211, Springer Nature, ISSN 0925-1022 [doi]
   (last updated on 2024/04/24)

   Abstract:
   We consider a variant of the classical problem of finding the size of the largest cap in the r-dimensional projective geometry PG(r, 3) over the field IF3 with 3 elements. We study the maximum size f(n) of a subset S of IF3n with the property that the only solution to the equation x1+x2+x3=0 is x1=x2=x3. Let cn=f(n)1/n and c=sup{c1, c2, ...}. We prove that c>2.21, improving the previous lower bound of 2.1955 ... © 1994 Kluwer Academic Publishers.