Classes of Codes from Quadratic Surfaces of PG(3,q)
Digital Object Identifier (DOI)
Contributions to Discrete Mathematics
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.
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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.