Information on Result #812620
Linear OOA(350, 265727, F3, 2, 7) (dual of [(265727, 2), 531404, 8]-NRT-code), using OOA 2-folding based on linear OA(350, 531454, F3, 7) (dual of [531454, 531404, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(349, 531441, F3, 7) (dual of [531441, 531392, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(337, 531441, F3, 5) (dual of [531441, 531404, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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(350, 265727, F3, 3, 7) (dual of [(265727, 3), 797131, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(350, 265727, F3, 4, 7) (dual of [(265727, 4), 1062858, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(350, 265727, F3, 5, 7) (dual of [(265727, 5), 1328585, 8]-NRT-code) | [i] | ||
| 4 | Digital (43, 50, 265727)-net over F3 | [i] | ||