Information on Result #685322
Linear OA(729, 350, F7, 11) (dual of [350, 321, 12]-code), using construction X applied to Ce(10) ⊂ Ce(8) based on
- linear OA(728, 343, F7, 11) (dual of [343, 315, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(722, 343, F7, 9) (dual of [343, 321, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(71, 7, F7, 1) (dual of [7, 6, 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(729, 290, F7, 2, 11) (dual of [(290, 2), 551, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(729, 290, F7, 3, 11) (dual of [(290, 3), 841, 12]-NRT-code) | [i] | ||
| 3 | Digital (18, 29, 290)-net over F7 | [i] | ||