A family of 2-weight codes related toBCH-codes

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 and . These code parameters and those of the corresponding family of strongly regular graphs are new in odd characteristic. © 1997 John Wiley & Sons, Inc. J Combin Designs 5: 391–396, 1997