Information on Result #976083
Linear OOA(773, 1921603, F7, 3, 11) (dual of [(1921603, 3), 5764736, 12]-NRT-code), using OOA 3-folding based on linear OA(773, 5764809, F7, 11) (dual of [5764809, 5764736, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(773, 5764801, F7, 11) (dual of [5764801, 5764728, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(765, 5764801, F7, 10) (dual of [5764801, 5764736, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(70, 8, F7, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(778, 1921611, F7, 3, 11) (dual of [(1921611, 3), 5764755, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(779, 1921616, F7, 3, 11) (dual of [(1921616, 3), 5764769, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(780, 1921624, F7, 3, 11) (dual of [(1921624, 3), 5764792, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(781, 1921631, F7, 3, 11) (dual of [(1921631, 3), 5764812, 12]-NRT-code) | [i] | ||