Information on Result #1747222
Digital (18, 35, 2731)-net over F128, using net defined by OOA based on linear OOA(12835, 2731, F128, 20, 17) (dual of [(2731, 20), 54585, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12835, 5463, F128, 4, 17) (dual of [(5463, 4), 21817, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12835, 5464, F128, 4, 17) (dual of [(5464, 4), 21821, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12835, 5464, F128, 3, 17) (dual of [(5464, 3), 16357, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12835, 16392, F128, 17) (dual of [16392, 16357, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [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(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1282, 8, F128, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- OOA 3-folding [i] based on linear OA(12835, 16392, F128, 17) (dual of [16392, 16357, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12835, 5464, F128, 3, 17) (dual of [(5464, 3), 16357, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12835, 5464, F128, 4, 17) (dual of [(5464, 4), 21821, 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.