Information on Result #1727442
Digital (60, 74, 78510)-net over F8, using net defined by OOA based on linear OOA(874, 78510, F8, 21, 14) (dual of [(78510, 21), 1648636, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(874, 235531, F8, 3, 14) (dual of [(235531, 3), 706519, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(874, 235531, F8, 14) (dual of [235531, 235457, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(874, 262157, F8, 14) (dual of [262157, 262083, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(873, 262144, F8, 14) (dual of [262144, 262071, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(861, 262144, F8, 12) (dual of [262144, 262083, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(81, 13, F8, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(874, 262157, F8, 14) (dual of [262157, 262083, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(874, 235531, F8, 14) (dual of [235531, 235457, 15]-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.