Math @ Duke

Publications [#236035] of Robert Calderbank
Papers Published
 Calderbank, AR; Fishburn, PC, Maximal threeindependent subsets of {0, 1, 2}^{n},
Designs, Codes and Cryptography, vol. 4 no. 4
(1994),
pp. 203211, ISSN 09251022 [doi]
(last updated on 2018/03/22)
Abstract: We consider a variant of the classical problem of finding the size of the largest cap in the rdimensional 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.


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