Information on Result #1747598
Digital (26, 49, 1948)-net over F128, using net defined by OOA based on linear OOA(12849, 1948, F128, 28, 23) (dual of [(1948, 28), 54495, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12849, 5845, F128, 4, 23) (dual of [(5845, 4), 23331, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12849, 5845, F128, 2, 23) (dual of [(5845, 2), 11641, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12849, 8199, F128, 2, 23) (dual of [(8199, 2), 16349, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12849, 16398, F128, 23) (dual of [16398, 16349, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(12845, 16384, F128, 23) (dual of [16384, 16339, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(22) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(12849, 16398, F128, 23) (dual of [16398, 16349, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(12849, 8199, F128, 2, 23) (dual of [(8199, 2), 16349, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12849, 5845, F128, 2, 23) (dual of [(5845, 2), 11641, 24]-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.