Information on Result #1741960
Digital (77, 102, 174767)-net over F32, using net defined by OOA based on linear OOA(32102, 174767, F32, 26, 25) (dual of [(174767, 26), 4543840, 26]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(32102, 1048603, F32, 2, 25) (dual of [(1048603, 2), 2097104, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(32102, 1048606, F32, 2, 25) (dual of [(1048606, 2), 2097110, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(32102, 1048606, F32, 25) (dual of [1048606, 1048504, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3297, 1048577, F32, 25) (dual of [1048577, 1048480, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3273, 1048577, F32, 19) (dual of [1048577, 1048504, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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([0,12]) ⊂ C([0,9]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(32102, 1048606, F32, 25) (dual of [1048606, 1048504, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(32102, 1048606, F32, 2, 25) (dual of [(1048606, 2), 2097110, 26]-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.