Information on Result #684942
Linear OA(774, 2406, F7, 22) (dual of [2406, 2332, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- 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(769, 2401, F7, 20) (dual of [2401, 2332, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(71, 5, F7, 1) (dual of [5, 4, 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(773, 2405, F7, 21) (dual of [2405, 2332, 22]-code) | [i] | Truncation | |
| 2 | Linear OOA(774, 1670, F7, 2, 22) (dual of [(1670, 2), 3266, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(774, 1670, F7, 3, 22) (dual of [(1670, 3), 4936, 23]-NRT-code) | [i] | ||
| 4 | Digital (52, 74, 1670)-net over F7 | [i] | ||
| 5 | Linear OOA(774, 1203, F7, 2, 22) (dual of [(1203, 2), 2332, 23]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(774, 802, F7, 3, 22) (dual of [(802, 3), 2332, 23]-NRT-code) | [i] | ||