Information on Result #1320992
Linear OA(756, 823594, F7, 9) (dual of [823594, 823538, 10]-code), using (u, u+v)-construction based on
- linear OA(76, 44, F7, 4) (dual of [44, 38, 5]-code), using
- a “GraX†code from Grassl’s database [i]
- linear OA(750, 823550, F7, 9) (dual of [823550, 823500, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(750, 823543, F7, 9) (dual of [823543, 823493, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 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
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
Mode: 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(756, 823594, F7, 2, 9) (dual of [(823594, 2), 1647132, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(756, 823594, F7, 3, 9) (dual of [(823594, 3), 2470726, 10]-NRT-code) | [i] | ||
| 3 | Digital (47, 56, 823594)-net over F7 | [i] | ||
| 4 | Linear OOA(756, 411797, F7, 2, 9) (dual of [(411797, 2), 823538, 10]-NRT-code) | [i] | OOA Folding | |