Information on Result #664601
Linear OA(16129, 4125, F16, 37) (dual of [4125, 3996, 38]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1612, 14, F16, 12) (dual of [14, 2, 13]-code or 14-arc in PG(11,16)), using
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- Reed–Solomon code RS(4,16) [i]
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- linear OA(1614, 14, F16, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,16)), using
- linear OA(16103, 4097, F16, 37) (dual of [4097, 3994, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.