Information on Result #664618
Linear OA(16112, 4120, F16, 32) (dual of [4120, 4008, 33]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1610, 12, F16, 10) (dual of [12, 2, 11]-code or 12-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- linear OA(1612, 12, F16, 12) (dual of [12, 0, 13]-code or 12-arc in PG(11,16)), using
- linear OA(1690, 4096, F16, 32) (dual of [4096, 4006, 33]-code), using
- 1 times truncation [i] based on linear OA(1691, 4097, F16, 33) (dual of [4097, 4006, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(1691, 4097, F16, 33) (dual of [4097, 4006, 34]-code), using
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.