Information on Result #684939
Linear OA(785, 2405, F7, 25) (dual of [2405, 2320, 26]-code), using construction X applied to Ce(24) ⊂ Ce(23) based on
- linear OA(785, 2401, F7, 25) (dual of [2401, 2316, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(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(788, 2424, F7, 25) (dual of [2424, 2336, 26]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(789, 2457, F7, 25) (dual of [2457, 2368, 26]-code) | [i] | ||
| 3 | Linear OA(790, 2531, F7, 25) (dual of [2531, 2441, 26]-code) | [i] | ||
| 4 | Linear OA(791, 2666, F7, 25) (dual of [2666, 2575, 26]-code) | [i] | ||
| 5 | Linear OA(792, 2859, F7, 25) (dual of [2859, 2767, 26]-code) | [i] | ||
| 6 | Linear OA(793, 3090, F7, 25) (dual of [3090, 2997, 26]-code) | [i] | ||
| 7 | Linear OOA(785, 1202, F7, 2, 25) (dual of [(1202, 2), 2319, 26]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(785, 801, F7, 3, 25) (dual of [(801, 3), 2318, 26]-NRT-code) | [i] | ||