Information on Result #1748038
Digital (36, 69, 1366)-net over F128, using net defined by OOA based on linear OOA(12869, 1366, F128, 36, 33) (dual of [(1366, 36), 49107, 34]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(12869, 5465, F128, 4, 33) (dual of [(5465, 4), 21791, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12869, 5466, F128, 4, 33) (dual of [(5466, 4), 21795, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12869, 5466, F128, 3, 33) (dual of [(5466, 3), 16329, 34]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12869, 16398, F128, 33) (dual of [16398, 16329, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(27) [i] based on
- linear OA(12865, 16384, F128, 33) (dual of [16384, 16319, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(32) ⊂ Ce(27) [i] based on
- OOA 3-folding [i] based on linear OA(12869, 16398, F128, 33) (dual of [16398, 16329, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12869, 5466, F128, 3, 33) (dual of [(5466, 3), 16329, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12869, 5466, F128, 4, 33) (dual of [(5466, 4), 21795, 34]-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.