Information on Result #812843
Linear OOA(364, 9846, F3, 2, 11) (dual of [(9846, 2), 19628, 12]-NRT-code), using OOA 2-folding based on linear OA(364, 19692, F3, 11) (dual of [19692, 19628, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(364, 19683, F3, 11) (dual of [19683, 19619, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(355, 19683, F3, 10) (dual of [19683, 19628, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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 OOA(364, 9376, F3, 3, 11) (dual of [(9376, 3), 28064, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(364, 9376, F3, 4, 11) (dual of [(9376, 4), 37440, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(364, 9376, F3, 5, 11) (dual of [(9376, 5), 46816, 12]-NRT-code) | [i] | ||
| 4 | Digital (53, 64, 9376)-net over F3 | [i] | ||