Information on Result #685279
Linear OA(756, 347, F7, 22) (dual of [347, 291, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(755, 343, F7, 22) (dual of [343, 288, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(752, 343, F7, 20) (dual of [343, 291, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-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 OOA(756, 281, F7, 2, 22) (dual of [(281, 2), 506, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(756, 281, F7, 3, 22) (dual of [(281, 3), 787, 23]-NRT-code) | [i] | ||
| 3 | Digital (34, 56, 281)-net over F7 | [i] | ||
| 4 | Linear OOA(756, 173, F7, 2, 22) (dual of [(173, 2), 290, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(756, 115, F7, 3, 22) (dual of [(115, 3), 289, 23]-NRT-code) | [i] | ||