Publications [#343580] of Robert Calderbank

Journal articles or Book chapters PUBLISHED

1. Calderbank, R, On uniformly packed [n, n-fc,4] codes over gf(Q) and a class of caps in ?g(k-l, q), Journal of the London Mathematical Society, vol. s2-26 no. 2 (January, 1982), pp. 365-384 [doi]
   (last updated on 2026/01/17)

   Abstract:
   We determine all uniformly packed [n, k, 4] codes over GF (2) and we derive a non-trivial necessary condition for the existence of uniformly packed [k, 4] codes over GF (q), where q 2 is a prime power. This condition allows us to classify uniformly packed [n, k, 4] codes over GF (4). As a corollary we obtain a necessary condition for the existence of a projective (n, k, h lt h 2) set S in PG (k1, q) with the property that no three points of S are collinear. A further corollary is a necessary condition for the linear representation of partial quadrangles. © 1982, Oxford University Press. All rights reserved.