Information on Result #2279214
Linear OA(778, 2406, F7, 23) (dual of [2406, 2328, 24]-code), using 1 times code embedding in larger space based on linear OA(777, 2405, F7, 23) (dual of [2405, 2328, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(777, 2401, F7, 23) (dual of [2401, 2324, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(70, 4, F7, 0) (dual of [4, 4, 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, 1803, F7, 2, 23) (dual of [(1803, 2), 3528, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(778, 1803, F7, 3, 23) (dual of [(1803, 3), 5331, 24]-NRT-code) | [i] | ||
| 3 | Digital (55, 78, 1803)-net over F7 | [i] | ||
| 4 | Linear OOA(778, 1203, F7, 2, 23) (dual of [(1203, 2), 2328, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(778, 802, F7, 3, 23) (dual of [(802, 3), 2328, 24]-NRT-code) | [i] | ||