Information on Result #1080849
Linear OOA(376, 3085267, F3, 4, 7) (dual of [(3085267, 4), 12340992, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(319, 1490944, F3, 4, 3) (dual of [(1490944, 4), 5963757, 4]-NRT-code), using
- appending 1 arbitrary column [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 1 arbitrary column [i] based on linear OOA(319, 1490944, F3, 3, 3) (dual of [(1490944, 3), 4472813, 4]-NRT-code), using
- linear OOA(357, 1594323, F3, 4, 7) (dual of [(1594323, 4), 6377235, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding and stacking with additional row [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.