Information on Result #812794
Linear OOA(384, 797177, F3, 2, 10) (dual of [(797177, 2), 1594270, 11]-NRT-code), using OOA 2-folding based on linear OA(384, 1594354, F3, 10) (dual of [1594354, 1594270, 11]-code), using
- 1 times code embedding in larger space [i] based on linear OA(383, 1594353, F3, 10) (dual of [1594353, 1594270, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(379, 1594323, F3, 10) (dual of [1594323, 1594244, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(353, 1594323, F3, 7) (dual of [1594323, 1594270, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(9) ⊂ Ce(6) [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(384, 656175, F3, 3, 10) (dual of [(656175, 3), 1968441, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(384, 656175, F3, 4, 10) (dual of [(656175, 4), 2624616, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(384, 656175, F3, 5, 10) (dual of [(656175, 5), 3280791, 11]-NRT-code) | [i] | ||
| 4 | Digital (74, 84, 656175)-net over F3 | [i] | ||