Information on Result #1747946
Digital (33, 63, 1366)-net over F128, using net defined by OOA based on linear OOA(12863, 1366, F128, 36, 30) (dual of [(1366, 36), 49113, 31]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(12863, 5465, F128, 4, 30) (dual of [(5465, 4), 21797, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12863, 5466, F128, 4, 30) (dual of [(5466, 4), 21801, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12863, 5466, F128, 3, 30) (dual of [(5466, 3), 16335, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12863, 16398, F128, 30) (dual of [16398, 16335, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(12849, 16384, F128, 25) (dual of [16384, 16335, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(29) ⊂ Ce(24) [i] based on
- OOA 3-folding [i] based on linear OA(12863, 16398, F128, 30) (dual of [16398, 16335, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12863, 5466, F128, 3, 30) (dual of [(5466, 3), 16335, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12863, 5466, F128, 4, 30) (dual of [(5466, 4), 21801, 31]-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.