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Families of ternary (t,m,s)-nets related to BCH-codes

Monatshefte für Mathematik, 132 (2001), 99-103.

doi:10.1007/s006050170047

Abstract:

A link between the theory of error-correcting codes and (t,m,s)-nets leads to the efficient construction of two families of very good ternary nets. These have parameters (4r-4,4r,(3^2r+1)/2) (for all r›= 2) and (2r-4,2r,(3^r-1)/2) (for all odd r›= 3). The underlying codes are cyclic codes.

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