Information on Result #684943
Linear OA(769, 2405, F7, 20) (dual of [2405, 2336, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- 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(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(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(771, 2413, F7, 20) (dual of [2413, 2342, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(772, 2440, F7, 20) (dual of [2440, 2368, 21]-code) | [i] | ||
| 3 | Linear OA(773, 2513, F7, 20) (dual of [2513, 2440, 21]-code) | [i] | ||
| 4 | Linear OA(774, 2662, F7, 20) (dual of [2662, 2588, 21]-code) | [i] | ||
| 5 | Linear OA(775, 2893, F7, 20) (dual of [2893, 2818, 21]-code) | [i] | ||
| 6 | Linear OA(776, 3187, F7, 20) (dual of [3187, 3111, 21]-code) | [i] | ||
| 7 | Linear OA(777, 3526, F7, 20) (dual of [3526, 3449, 21]-code) | [i] | ||
| 8 | Linear OOA(769, 1202, F7, 2, 20) (dual of [(1202, 2), 2335, 21]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(769, 801, F7, 3, 20) (dual of [(801, 3), 2334, 21]-NRT-code) | [i] | ||