Information on Result #1747532
Digital (25, 47, 2034)-net over F128, using net defined by OOA based on linear OOA(12847, 2034, F128, 28, 22) (dual of [(2034, 28), 56905, 23]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12847, 6103, F128, 4, 22) (dual of [(6103, 4), 24365, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12847, 6103, F128, 2, 22) (dual of [(6103, 2), 12159, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12847, 8199, F128, 2, 22) (dual of [(8199, 2), 16351, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12847, 16398, F128, 22) (dual of [16398, 16351, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1284, 14, F128, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,128)), using
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- Reed–Solomon code RS(124,128) [i]
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(12847, 16398, F128, 22) (dual of [16398, 16351, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(12847, 8199, F128, 2, 22) (dual of [(8199, 2), 16351, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12847, 6103, F128, 2, 22) (dual of [(6103, 2), 12159, 23]-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.