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On uniformly packed [n, n-fc,4] codes over gf(Q) and a class of caps in ?g(k-l, q)

Publication ,  Journal Article
Calderbank, R
Published in: Journal of the London Mathematical Society
January 1, 1982

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.

Duke Scholars

Published In

Journal of the London Mathematical Society

DOI

EISSN

1469-7750

ISSN

0024-6107

Publication Date

January 1, 1982

Volume

s2-26

Issue

2

Start / End Page

365 / 384

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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Calderbank, R. (1982). 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, s2-26(2), 365–384. https://doi.org/10.1112/jlms/s2-26.2.365
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 s2-26, no. 2 (January 1, 1982): 365–84. https://doi.org/10.1112/jlms/s2-26.2.365.
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. 1982 Jan 1;s2-26(2):365–84.
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, Jan. 1982, pp. 365–84. Scopus, doi:10.1112/jlms/s2-26.2.365.
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. 1982 Jan 1;s2-26(2):365–384.
Journal cover image

Published In

Journal of the London Mathematical Society

DOI

EISSN

1469-7750

ISSN

0024-6107

Publication Date

January 1, 1982

Volume

s2-26

Issue

2

Start / End Page

365 / 384

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics