Information on Result #1802309
Digital (61, 94, 3375)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1694, 3375, F16, 33) (dual of [3375, 3281, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(1694, 4106, F16, 33) (dual of [4106, 4012, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [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]
- linear OA(1685, 4097, F16, 29) (dual of [4097, 4012, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(163, 9, F16, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,16) or 9-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.