Information on Result #1747540
Digital (29, 51, 4037)-net over F128, using net defined by OOA based on linear OOA(12851, 4037, F128, 28, 22) (dual of [(4037, 28), 112985, 23]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12851, 12112, F128, 4, 22) (dual of [(12112, 4), 48397, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12851, 12112, F128, 22) (dual of [12112, 12061, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(12851, 16410, F128, 22) (dual of [16410, 16359, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(12) [i] based on
- linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1288, 26, F128, 8) (dual of [26, 18, 9]-code or 26-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(21) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(12851, 16410, F128, 22) (dual of [16410, 16359, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12851, 12112, F128, 22) (dual of [12112, 12061, 23]-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.