Classes of Codes from Quadratic Surfaces of PG(3,q)
Document Type
Article
Digital Object Identifier (DOI)
10.11575/cdm.v2i1.61875
Journal Title
Contributions to Discrete Mathematics
Publication Date
2007
Abstract
We examine classes of binary linear error correcting codes constructed from certain sets of lines defined relative to one of the two classical quadratic surfaces in PG(3,q)'>PG(3,q)PG(3,q) . We give an overview of some of the properties of the codes, providing proofs where the results are new. In particular, we use geometric techniques to find small weight codewords, and hence, bound the minimum distance.
Publisher Statement
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Recommended Citation
Mellinger, Keith E. “Classes of Codes from Quadratic Surfaces of PG(3,q).” Contributions to Discrete Mathematics 2, no. 1 (2007). https://doi.org/10.11575/cdm.v2i1.61875.
Comments
The definitive article is available through "Contributions to Discrete Mathematics" at https://doi.org/10.11575/cdm.v2i1.61875. Copyright (2007) - University of Calgary.