Information on Result #1742008
Digital (53, 79, 3519)-net over F32, using net defined by OOA based on linear OOA(3279, 3519, F32, 30, 26) (dual of [(3519, 30), 105491, 27]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(3279, 24634, F32, 2, 26) (dual of [(24634, 2), 49189, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3279, 24634, F32, 26) (dual of [24634, 24555, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3279, 32783, F32, 26) (dual of [32783, 32704, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(3276, 32768, F32, 26) (dual of [32768, 32692, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3264, 32768, F32, 22) (dual of [32768, 32704, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(323, 15, F32, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,32) or 15-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3279, 32783, F32, 26) (dual of [32783, 32704, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3279, 24634, F32, 26) (dual of [24634, 24555, 27]-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.