Information on Result #812764
Linear OOA(346, 1100, F3, 2, 10) (dual of [(1100, 2), 2154, 11]-NRT-code), using OOA 2-folding based on linear OA(346, 2200, F3, 10) (dual of [2200, 2154, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(329, 2187, F3, 7) (dual of [2187, 2158, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
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(346, 1100, F3, 3, 10) (dual of [(1100, 3), 3254, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(346, 1100, F3, 4, 10) (dual of [(1100, 4), 4354, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(346, 1100, F3, 5, 10) (dual of [(1100, 5), 5454, 11]-NRT-code) | [i] | ||
| 4 | Digital (36, 46, 1100)-net over F3 | [i] | ||