Information on Result #684945
Linear OA(765, 2405, F7, 19) (dual of [2405, 2340, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(765, 2401, F7, 19) (dual of [2401, 2336, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(761, 2401, F7, 18) (dual of [2401, 2340, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(768, 2430, F7, 19) (dual of [2430, 2362, 20]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(769, 2477, F7, 19) (dual of [2477, 2408, 20]-code) | [i] | ||
| 3 | Linear OA(770, 2581, F7, 19) (dual of [2581, 2511, 20]-code) | [i] | ||
| 4 | Linear OA(771, 2771, F7, 19) (dual of [2771, 2700, 20]-code) | [i] | ||
| 5 | Linear OA(772, 3045, F7, 19) (dual of [3045, 2973, 20]-code) | [i] | ||
| 6 | Linear OA(773, 3380, F7, 19) (dual of [3380, 3307, 20]-code) | [i] | ||
| 7 | Linear OOA(765, 1202, F7, 2, 19) (dual of [(1202, 2), 2339, 20]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(765, 801, F7, 3, 19) (dual of [(801, 3), 2338, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(765, 267, F7, 19, 19) (dual of [(267, 19), 5008, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |