Information on Result #675447
Linear OA(3244, 6574, F3, 46) (dual of [6574, 6330, 47]-code), using construction X applied to Ce(45) ⊂ Ce(42) based on
- linear OA(3241, 6561, F3, 46) (dual of [6561, 6320, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3225, 6561, F3, 43) (dual of [6561, 6336, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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(3244, 3681, F3, 2, 46) (dual of [(3681, 2), 7118, 47]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3244, 3681, F3, 3, 46) (dual of [(3681, 3), 10799, 47]-NRT-code) | [i] | ||
| 3 | Linear OOA(3244, 3681, F3, 4, 46) (dual of [(3681, 4), 14480, 47]-NRT-code) | [i] | ||
| 4 | Linear OOA(3244, 3681, F3, 5, 46) (dual of [(3681, 5), 18161, 47]-NRT-code) | [i] | ||
| 5 | Digital (198, 244, 3681)-net over F3 | [i] | ||
| 6 | Linear OOA(3244, 3287, F3, 2, 46) (dual of [(3287, 2), 6330, 47]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3244, 2191, F3, 3, 46) (dual of [(2191, 3), 6329, 47]-NRT-code) | [i] | ||