Information on Result #1740372
Digital (69, 106, 1167)-net over F27, using net defined by OOA based on linear OOA(27106, 1167, F27, 38, 37) (dual of [(1167, 38), 44240, 38]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OOA(27106, 10504, F27, 2, 37) (dual of [(10504, 2), 20902, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(27106, 10511, F27, 2, 37) (dual of [(10511, 2), 20916, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27106, 10511, F27, 37) (dual of [10511, 10405, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(27106, 19683, F27, 37) (dual of [19683, 19577, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- discarding factors / shortening the dual code based on linear OA(27106, 19683, F27, 37) (dual of [19683, 19577, 38]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27106, 10511, F27, 37) (dual of [10511, 10405, 38]-code), using
- discarding factors / shortening the dual code based on linear OOA(27106, 10511, F27, 2, 37) (dual of [(10511, 2), 20916, 38]-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.