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

Document Type

Article

Publication Date

5-2001

Department

Department of Mathematical Sciences

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, (32r+ 1)/2 (for all r ≥ 2) and (2r - 4, 2r, (3r - 1)/2) (for all odd r ≥ 3). The underlying codes are cyclic codes.

Publication Title

Monatshefte fur Mathematik

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