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Linear codes from projective spaces

Michel Lavrauw, Leo Storme UGent and Geertrui Van de Voorde UGent (2010) Contemporary Mathematics. 523. p.185-202
abstract
The linear code C-s,C- (t)(n,q) of s-spaces and t-spaces in a projective space PG(n,q), q = p(h), p prime, is defined as the vector space spanned over F-p by the rows of the incidence matrix of s-spaces and t-spaces. This code generalises the code of points and lines in a projective plane, which has been intensively studied since the 1970's. In this paper, we give an overview of what is currently known about the codes C-s,C-t(n,q) and their duals.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
Projective planes, Projective spaces, Blocking sets, Unitals, Linear codes, SMALL WEIGHT CODEWORDS, INCIDENCE MATRIX, GEOMETRIC CODES, MINIMUM WEIGHT, CYCLIC CODES, DUAL CODES, K-SPACES, PLANES, ORDER-9, POINTS
in
Contemporary Mathematics
editor
AA Bruen and DL Wehlau
volume
523
issue title
Error-correcting codes, finite geometries and cryptography
pages
185 - 202
publisher
American Mathematical Society (AMS)
place of publication
Providence, RI, USA
conference name
Conference on Error-Control Codes, Information Theory and Applied Cryptography
conference location
Toronto, ON, Canada
conference start
2007-12-05
conference end
2007-12-06
Web of Science type
Proceedings Paper
Web of Science id
000283176500017
ISSN
0271-4132
ISBN
9780821849569
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1261269
handle
http://hdl.handle.net/1854/LU-1261269
date created
2011-06-14 11:29:48
date last changed
2017-01-02 09:53:22
@inproceedings{1261269,
  abstract     = {The linear code C-s,C- (t)(n,q) of s-spaces and t-spaces in a projective space PG(n,q), q = p(h), p prime, is defined as the vector space spanned over F-p by the rows of the incidence matrix of s-spaces and t-spaces. This code generalises the code of points and lines in a projective plane, which has been intensively studied since the 1970's. In this paper, we give an overview of what is currently known about the codes C-s,C-t(n,q) and their duals.},
  author       = {Lavrauw, Michel and Storme, Leo and Van de Voorde, Geertrui},
  booktitle    = {Contemporary Mathematics},
  editor       = {Bruen, AA and Wehlau, DL},
  isbn         = {9780821849569},
  issn         = {0271-4132},
  keyword      = {Projective planes,Projective spaces,Blocking sets,Unitals,Linear codes,SMALL WEIGHT CODEWORDS,INCIDENCE MATRIX,GEOMETRIC CODES,MINIMUM WEIGHT,CYCLIC CODES,DUAL CODES,K-SPACES,PLANES,ORDER-9,POINTS},
  language     = {eng},
  location     = {Toronto, ON, Canada},
  pages        = {185--202},
  publisher    = {American Mathematical Society (AMS)},
  title        = {Linear codes from projective spaces},
  volume       = {523},
  year         = {2010},
}

Chicago
Lavrauw, Michel, Leo Storme, and Geertrui Van de Voorde. 2010. “Linear Codes from Projective Spaces.” In Contemporary Mathematics, ed. AA Bruen and DL Wehlau, 523:185–202. Providence, RI, USA: American Mathematical Society (AMS).
APA
Lavrauw, M., Storme, L., & Van de Voorde, G. (2010). Linear codes from projective spaces. In A. Bruen & D. Wehlau (Eds.), Contemporary Mathematics (Vol. 523, pp. 185–202). Presented at the Conference on Error-Control Codes, Information Theory and Applied Cryptography, Providence, RI, USA: American Mathematical Society (AMS).
Vancouver
1.
Lavrauw M, Storme L, Van de Voorde G. Linear codes from projective spaces. In: Bruen A, Wehlau D, editors. Contemporary Mathematics. Providence, RI, USA: American Mathematical Society (AMS); 2010. p. 185–202.
MLA
Lavrauw, Michel, Leo Storme, and Geertrui Van de Voorde. “Linear Codes from Projective Spaces.” Contemporary Mathematics. Ed. AA Bruen & DL Wehlau. Vol. 523. Providence, RI, USA: American Mathematical Society (AMS), 2010. 185–202. Print.