Information on Result #675448
Linear OA(3245, 6581, F3, 46) (dual of [6581, 6336, 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(34, 20, F3, 2) (dual of [20, 16, 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
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 OA(3246, 6582, F3, 46) (dual of [6582, 6336, 47]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3245, 3775, F3, 2, 46) (dual of [(3775, 2), 7305, 47]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3245, 3775, F3, 3, 46) (dual of [(3775, 3), 11080, 47]-NRT-code) | [i] | ||
| 4 | Linear OOA(3245, 3775, F3, 4, 46) (dual of [(3775, 4), 14855, 47]-NRT-code) | [i] | ||
| 5 | Linear OOA(3245, 3775, F3, 5, 46) (dual of [(3775, 5), 18630, 47]-NRT-code) | [i] | ||
| 6 | Digital (199, 245, 3775)-net over F3 | [i] | ||
| 7 | Linear OOA(3245, 3290, F3, 2, 46) (dual of [(3290, 2), 6335, 47]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3245, 2193, F3, 3, 46) (dual of [(2193, 3), 6334, 47]-NRT-code) | [i] | ||
| 9 | Linear OOA(3245, 1645, F3, 4, 46) (dual of [(1645, 4), 6335, 47]-NRT-code) | [i] | ||
| 10 | Linear OOA(3245, 1316, F3, 5, 46) (dual of [(1316, 5), 6335, 47]-NRT-code) | [i] | ||