Information on Result #1810226
Digital (57, 110, 1032)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(32110, 1032, F32, 53) (dual of [1032, 922, 54]-code), using
- discarding factors / shortening the dual code based on linear OA(32110, 1042, F32, 53) (dual of [1042, 932, 54]-code), using
- construction X applied to C([0,26]) ⊂ C([0,23]) [i] based on
- linear OA(32105, 1025, F32, 53) (dual of [1025, 920, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (BCH-bound) [i]
- linear OA(3293, 1025, F32, 47) (dual of [1025, 932, 48]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,23], and minimum distance d ≥ |{−23,−22,…,23}|+1 = 48 (BCH-bound) [i]
- linear OA(325, 17, F32, 5) (dual of [17, 12, 6]-code or 17-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([0,26]) ⊂ C([0,23]) [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.