Information on Result #1740916
Digital (30, 44, 8196)-net over F32, using net defined by OOA based on linear OOA(3244, 8196, F32, 18, 14) (dual of [(8196, 18), 147484, 15]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3244, 32785, F32, 2, 14) (dual of [(32785, 2), 65526, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3244, 32787, F32, 2, 14) (dual of [(32787, 2), 65530, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3244, 32787, F32, 14) (dual of [32787, 32743, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(8) [i] based on
- linear OA(3240, 32768, F32, 14) (dual of [32768, 32728, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(3225, 32768, F32, 9) (dual of [32768, 32743, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(324, 19, F32, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- construction X applied to Ce(13) ⊂ Ce(8) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3244, 32787, F32, 14) (dual of [32787, 32743, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(3244, 32787, F32, 2, 14) (dual of [(32787, 2), 65530, 15]-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.