Information on Result #1179412
Digital (73, 79, 4287145)-net over F3, using net defined by OOA based on linear OOA(379, 4287145, F3, 6, 6) (dual of [(4287145, 6), 25722791, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(379, 4287145, F3, 5, 6) (dual of [(4287145, 5), 21435646, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(319, 1490944, F3, 5, 3) (dual of [(1490944, 5), 7454701, 4]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(319, 1490944, F3, 3, 3) (dual of [(1490944, 3), 4472813, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(319, 1490944, F3, 2, 3) (dual of [(1490944, 2), 2981869, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(319, 1490944, F3, 3) (dual of [1490944, 1490925, 4]-code or 1490944-cap in PG(18,3)), using
- appending kth column [i] based on linear OOA(319, 1490944, F3, 2, 3) (dual of [(1490944, 2), 2981869, 4]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(319, 1490944, F3, 3, 3) (dual of [(1490944, 3), 4472813, 4]-NRT-code), using
- linear OOA(360, 2796201, F3, 5, 6) (dual of [(2796201, 5), 13980945, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
- linear OOA(319, 1490944, F3, 5, 3) (dual of [(1490944, 5), 7454701, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and 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.