Information on Result #1010411
Linear OOA(376, 3085267, F3, 3, 7) (dual of [(3085267, 3), 9255725, 8]-NRT-code), using (u, u+v)-construction 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
- linear OOA(357, 1594323, F3, 3, 7) (dual of [(1594323, 3), 4782912, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using
- an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(396, 6170534, F3, 3, 7) (dual of [(6170534, 3), 18511506, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(376, 3085266, F3, 4, 7) (dual of [(3085266, 4), 12340988, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(376, 3085266, F3, 5, 7) (dual of [(3085266, 5), 15426254, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(376, 3085266, F3, 9, 7) (dual of [(3085266, 9), 27767318, 8]-NRT-code) | [i] | ||