Information on Result #1708050
Digital (9, 14, 531450)-net over F81, using net defined by OOA based on linear OOA(8114, 531450, F81, 5, 5) (dual of [(531450, 5), 2657236, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(8114, 531450, F81, 4, 5) (dual of [(531450, 4), 2125786, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 531450, F81, 5) (dual of [531450, 531436, 6]-code), using
- construction X4 applied to C([0,2]) ⊂ C([0,1]) [i] based on
- linear OA(8113, 531442, F81, 5) (dual of [531442, 531429, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(817, 531442, F81, 3) (dual of [531442, 531435, 4]-code or 531442-cap in PG(6,81)), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,1], and minimum distance d ≥ |{−1,0,1}|+1 = 4 (BCH-bound) [i]
- linear OA(817, 8, F81, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,81)), using
- dual of repetition code with length 8 [i]
- linear OA(811, 8, F81, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 81, F81, 1) (dual of [81, 80, 2]-code), using
- Reed–Solomon code RS(80,81) [i]
- discarding factors / shortening the dual code based on linear OA(811, 81, F81, 1) (dual of [81, 80, 2]-code), using
- construction X4 applied to C([0,2]) ⊂ C([0,1]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 531450, F81, 5) (dual of [531450, 531436, 6]-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.