Information on Result #1745290
Digital (3, 9, 165)-net over F81, using net defined by OOA based on linear OOA(819, 165, F81, 9, 6) (dual of [(165, 9), 1476, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(819, 166, F81, 3, 6) (dual of [(166, 3), 489, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(819, 166, F81, 6) (dual of [166, 157, 7]-code), using
- construction X applied to C([38,43]) ⊂ C([39,43]) [i] based on
- linear OA(819, 164, F81, 6) (dual of [164, 155, 7]-code), using the BCH-code C(I) with length 164 | 812−1, defining interval I = {38,39,…,43}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(817, 164, F81, 5) (dual of [164, 157, 6]-code), using the BCH-code C(I) with length 164 | 812−1, defining interval I = {39,40,41,42,43}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to C([38,43]) ⊂ C([39,43]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(819, 166, F81, 6) (dual of [166, 157, 7]-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.