Information on Result #1747714
Digital (54, 78, 563845)-net over F128, using net defined by OOA based on linear OOA(12878, 563845, F128, 28, 24) (dual of [(563845, 28), 15787582, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12878, 1691536, F128, 4, 24) (dual of [(1691536, 4), 6766066, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12878, 1691537, F128, 4, 24) (dual of [(1691537, 4), 6766070, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12878, 1691537, F128, 24) (dual of [1691537, 1691459, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(12878, 2097187, F128, 24) (dual of [2097187, 2097109, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(14) [i] based on
- linear OA(12870, 2097152, F128, 24) (dual of [2097152, 2097082, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(12843, 2097152, F128, 15) (dual of [2097152, 2097109, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(1288, 35, F128, 8) (dual of [35, 27, 9]-code or 35-arc in PG(7,128)), using
- discarding factors / shortening the dual code based on linear OA(1288, 128, F128, 8) (dual of [128, 120, 9]-code or 128-arc in PG(7,128)), using
- Reed–Solomon code RS(120,128) [i]
- discarding factors / shortening the dual code based on linear OA(1288, 128, F128, 8) (dual of [128, 120, 9]-code or 128-arc in PG(7,128)), using
- construction X applied to Ce(23) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(12878, 2097187, F128, 24) (dual of [2097187, 2097109, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12878, 1691537, F128, 24) (dual of [1691537, 1691459, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(12878, 1691537, F128, 4, 24) (dual of [(1691537, 4), 6766070, 25]-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.