A family of 2-weight codes related to BCH-codes
Document Type
Article
Publication Date
1997
Department
Department of Mathematical Sciences
Abstract
For every prime-power q and every pair of natural numbers m ≤ n′, we construct a q-ary linear code of length qm(qn′ - 1)(qn′ - qn′-m + 1)/(q - 1) and dimension 3n′, whose only nonzero weights are q2n′+m-1 -q2n′-1 and q2n′+m-1 - q2n′-1 + qn′+m-1. These code parameters and those of the corresponding family of strongly regular graphs are new in odd characteristic.
Publication Title
Journal of Combinatorial Designs
Recommended Citation
Bierbrauer, J.,
&
Edel, Y.
(1997).
A family of 2-weight codes related to BCH-codes.
Journal of Combinatorial Designs,
5(5), 391-396.
http://doi.org/10.1002/(SICI)1520-6610(1997)5:5<391::AID-JCD7>3.0.CO;2-A
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3321