Information on Result #731066
Linear OA(788, 4812, F7, 22) (dual of [4812, 4724, 23]-code), using trace code based on linear OA(4944, 2406, F49, 22) (dual of [2406, 2362, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(4943, 2401, F49, 22) (dual of [2401, 2358, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4939, 2401, F49, 20) (dual of [2401, 2362, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(491, 5, F49, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 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(789, 4813, F7, 22) (dual of [4813, 4724, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(788, 2406, F7, 2, 22) (dual of [(2406, 2), 4724, 23]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(788, 1604, F7, 3, 22) (dual of [(1604, 3), 4724, 23]-NRT-code) | [i] | ||