Information on Result #1734306
Digital (49, 64, 32773)-net over F16, using net defined by OOA based on linear OOA(1664, 32773, F16, 18, 15) (dual of [(32773, 18), 589850, 16]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1664, 131093, F16, 2, 15) (dual of [(131093, 2), 262122, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1664, 131096, F16, 2, 15) (dual of [(131096, 2), 262128, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1664, 131096, F16, 15) (dual of [131096, 131032, 16]-code), using
- trace code [i] based on linear OA(25632, 65548, F256, 15) (dual of [65548, 65516, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [i] based on
- linear OA(25629, 65537, F256, 15) (dual of [65537, 65508, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(25621, 65537, F256, 11) (dual of [65537, 65516, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(2563, 11, F256, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,256) or 11-cap in PG(2,256)), using
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- Reed–Solomon code RS(253,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [i] based on
- trace code [i] based on linear OA(25632, 65548, F256, 15) (dual of [65548, 65516, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1664, 131096, F16, 15) (dual of [131096, 131032, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(1664, 131096, F16, 2, 15) (dual of [(131096, 2), 262128, 16]-NRT-code), using
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.