Information on Result #2279042
Linear OA(794, 5764838, F7, 13) (dual of [5764838, 5764744, 14]-code), using 1 times code embedding in larger space based on linear OA(793, 5764837, F7, 13) (dual of [5764837, 5764744, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(789, 5764801, F7, 13) (dual of [5764801, 5764712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(757, 5764801, F7, 9) (dual of [5764801, 5764744, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(74, 36, F7, 3) (dual of [36, 32, 4]-code or 36-cap in PG(3,7)), 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(794, 5764838, F7, 2, 13) (dual of [(5764838, 2), 11529582, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(794, 5764838, F7, 3, 13) (dual of [(5764838, 3), 17294420, 14]-NRT-code) | [i] | ||
| 3 | Digital (81, 94, 5764838)-net over F7 | [i] | ||
| 4 | Linear OOA(794, 2882419, F7, 2, 13) (dual of [(2882419, 2), 5764744, 14]-NRT-code) | [i] | OOA Folding | |