Information on Result #684969
Linear OA(782, 2410, F7, 24) (dual of [2410, 2328, 25]-code), using construction X applied to Ce(23) ⊂ Ce(21) based on
- linear OA(781, 2401, F7, 24) (dual of [2401, 2320, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(71, 9, F7, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-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 OA(783, 2411, F7, 24) (dual of [2411, 2328, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(782, 1937, F7, 2, 24) (dual of [(1937, 2), 3792, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(782, 1937, F7, 3, 24) (dual of [(1937, 3), 5729, 25]-NRT-code) | [i] | ||
| 4 | Digital (58, 82, 1937)-net over F7 | [i] | ||
| 5 | Linear OA(784, 2417, F7, 24) (dual of [2417, 2333, 25]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OOA(782, 1205, F7, 2, 24) (dual of [(1205, 2), 2328, 25]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(782, 803, F7, 3, 24) (dual of [(803, 3), 2327, 25]-NRT-code) | [i] | ||