Information on Result #684941
Linear OA(777, 2405, F7, 23) (dual of [2405, 2328, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) 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 OA(778, 2406, F7, 23) (dual of [2406, 2328, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(781, 2422, F7, 23) (dual of [2422, 2341, 24]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(782, 2447, F7, 23) (dual of [2447, 2365, 24]-code) | [i] | ||
| 4 | Linear OA(783, 2506, F7, 23) (dual of [2506, 2423, 24]-code) | [i] | ||
| 5 | Linear OA(784, 2623, F7, 23) (dual of [2623, 2539, 24]-code) | [i] | ||
| 6 | Linear OA(785, 2811, F7, 23) (dual of [2811, 2726, 24]-code) | [i] | ||
| 7 | Linear OA(786, 3052, F7, 23) (dual of [3052, 2966, 24]-code) | [i] | ||
| 8 | Linear OA(787, 3329, F7, 23) (dual of [3329, 3242, 24]-code) | [i] | ||
| 9 | Linear OOA(777, 1202, F7, 2, 23) (dual of [(1202, 2), 2327, 24]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(777, 801, F7, 3, 23) (dual of [(801, 3), 2326, 24]-NRT-code) | [i] | ||