Information on Result #685323
Linear OA(726, 350, F7, 10) (dual of [350, 324, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- linear OA(725, 343, F7, 10) (dual of [343, 318, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(719, 343, F7, 8) (dual of [343, 324, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(726, 270, F7, 2, 10) (dual of [(270, 2), 514, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(726, 270, F7, 3, 10) (dual of [(270, 3), 784, 11]-NRT-code) | [i] | ||
| 3 | Digital (16, 26, 270)-net over F7 | [i] | ||
| 4 | Linear OOA(726, 175, F7, 2, 10) (dual of [(175, 2), 324, 11]-NRT-code) | [i] | OOA Folding | |