Information on Result #1747226
Digital (20, 37, 4099)-net over F128, using net defined by OOA based on linear OOA(12837, 4099, F128, 20, 17) (dual of [(4099, 20), 81943, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12837, 8199, F128, 4, 17) (dual of [(8199, 4), 32759, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12837, 8199, F128, 2, 17) (dual of [(8199, 2), 16361, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12837, 16398, F128, 17) (dual of [16398, 16361, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(11) [i] based on
- 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(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(16) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(12837, 16398, F128, 17) (dual of [16398, 16361, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12837, 8199, F128, 2, 17) (dual of [(8199, 2), 16361, 18]-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.