Information on Result #684946
Linear OA(761, 2405, F7, 18) (dual of [2405, 2344, 19]-code), using construction X applied to Ce(17) ⊂ Ce(16) based on
- 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(757, 2401, F7, 17) (dual of [2401, 2344, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(764, 2422, F7, 18) (dual of [2422, 2358, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(765, 2452, F7, 18) (dual of [2452, 2387, 19]-code) | [i] | ||
| 3 | Linear OA(766, 2523, F7, 18) (dual of [2523, 2457, 19]-code) | [i] | ||
| 4 | Linear OA(767, 2670, F7, 18) (dual of [2670, 2603, 19]-code) | [i] | ||
| 5 | Linear OA(768, 2913, F7, 18) (dual of [2913, 2845, 19]-code) | [i] | ||
| 6 | Linear OA(769, 3237, F7, 18) (dual of [3237, 3168, 19]-code) | [i] | ||
| 7 | Linear OOA(761, 1202, F7, 2, 18) (dual of [(1202, 2), 2343, 19]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(761, 801, F7, 3, 18) (dual of [(801, 3), 2342, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(761, 267, F7, 18, 18) (dual of [(267, 18), 4745, 19]-NRT-code) | [i] | OA Folding and Stacking | |