Information on Result #1740692
Digital (30, 40, 349531)-net over F32, using net defined by OOA based on linear OOA(3240, 349531, F32, 14, 10) (dual of [(349531, 14), 4893394, 11]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3240, 1048594, F32, 2, 10) (dual of [(1048594, 2), 2097148, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3240, 1048595, F32, 2, 10) (dual of [(1048595, 2), 2097150, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3240, 1048595, F32, 10) (dual of [1048595, 1048555, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- linear OA(3237, 1048576, F32, 10) (dual of [1048576, 1048539, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(3221, 1048576, F32, 6) (dual of [1048576, 1048555, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(323, 19, F32, 3) (dual of [19, 16, 4]-code or 19-arc in PG(2,32) or 19-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(9) ⊂ Ce(5) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3240, 1048595, F32, 10) (dual of [1048595, 1048555, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(3240, 1048595, F32, 2, 10) (dual of [(1048595, 2), 2097150, 11]-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.