Information on Result #812868
Linear OOA(397, 797177, F3, 2, 11) (dual of [(797177, 2), 1594257, 12]-NRT-code), using OOA 2-folding based on linear OA(397, 1594354, F3, 11) (dual of [1594354, 1594257, 12]-code), using
- 1 times code embedding in larger space [i] based on linear OA(396, 1594353, F3, 11) (dual of [1594353, 1594257, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(392, 1594323, F3, 11) (dual of [1594323, 1594231, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(366, 1594323, F3, 8) (dual of [1594323, 1594257, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(34, 30, F3, 2) (dual of [30, 26, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
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(397, 797177, F3, 3, 11) (dual of [(797177, 3), 2391434, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(397, 797177, F3, 4, 11) (dual of [(797177, 4), 3188611, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(397, 797177, F3, 5, 11) (dual of [(797177, 5), 3985788, 12]-NRT-code) | [i] | ||
| 4 | Digital (86, 97, 797177)-net over F3 | [i] | ||