Information on Result #1748896
Digital (37, 64, 15581)-net over F256, using net defined by OOA based on linear OOA(25664, 15581, F256, 35, 27) (dual of [(15581, 35), 545271, 28]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25664, 46744, F256, 5, 27) (dual of [(46744, 5), 233656, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25664, 46746, F256, 5, 27) (dual of [(46746, 5), 233666, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25664, 46746, F256, 27) (dual of [46746, 46682, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(25664, 65572, F256, 27) (dual of [65572, 65508, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,7]) [i] based on
- linear OA(25653, 65537, F256, 27) (dual of [65537, 65484, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- 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(25611, 35, F256, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,256)), using
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using
- Reed–Solomon code RS(245,256) [i]
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using
- construction X applied to C([0,13]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(25664, 65572, F256, 27) (dual of [65572, 65508, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25664, 46746, F256, 27) (dual of [46746, 46682, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(25664, 46746, F256, 5, 27) (dual of [(46746, 5), 233666, 28]-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.