Information on Result #1741182
Digital (53, 70, 262151)-net over F32, using net defined by OOA based on linear OOA(3270, 262151, F32, 18, 17) (dual of [(262151, 18), 4718648, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3270, 1048605, F32, 2, 17) (dual of [(1048605, 2), 2097140, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3270, 1048606, F32, 2, 17) (dual of [(1048606, 2), 2097142, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3270, 1048606, F32, 17) (dual of [1048606, 1048536, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(3265, 1048577, F32, 17) (dual of [1048577, 1048512, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(3241, 1048577, F32, 11) (dual of [1048577, 1048536, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(325, 29, F32, 5) (dual of [29, 24, 6]-code or 29-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3270, 1048606, F32, 17) (dual of [1048606, 1048536, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(3270, 1048606, F32, 2, 17) (dual of [(1048606, 2), 2097142, 18]-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.