A family of 2-weight codes related to BCH-codes

Journal of Combinatorial Designs 5, 5 (1997) 391-396.

doi:10.1002/(SICI)1520-6610(1997)5:5<391::AID-JCD7>3.0.CO;2-A

Abstract:

For every prime-power q and every pair of natural numbers m<= n' we construct a q-ary linear code of length q^m(q^n'-1)(q^n'-q^n'-m+1)/(q-1) and dimension 3n', whose only nonzero weights are q^2n'+m-1-q^2n'-1 and q^2n'+m-1-q^2n'-1+q^n'+m-1. These code parameters and those of the corresponding family of strongly regular graphs are new in odd characteristic.

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