Information on Result #1747786
Digital (36, 62, 4104)-net over F128, using net defined by OOA based on linear OOA(12862, 4104, F128, 36, 26) (dual of [(4104, 36), 147682, 27]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(12862, 16417, F128, 4, 26) (dual of [(16417, 4), 65606, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12862, 16419, F128, 4, 26) (dual of [(16419, 4), 65614, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12862, 16419, F128, 26) (dual of [16419, 16357, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(13) [i] based on
- linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(12811, 35, F128, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,128)), using
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- Reed–Solomon code RS(117,128) [i]
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- construction X applied to Ce(25) ⊂ Ce(13) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12862, 16419, F128, 26) (dual of [16419, 16357, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(12862, 16419, F128, 4, 26) (dual of [(16419, 4), 65614, 27]-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.