Information on Result #676617
Linear OA(389, 745, F3, 22) (dual of [745, 656, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) based on
- linear OA(385, 729, F3, 22) (dual of [729, 644, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(373, 729, F3, 19) (dual of [729, 656, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(34, 16, F3, 2) (dual of [16, 12, 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 OOA(389, 505, F3, 2, 22) (dual of [(505, 2), 921, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(389, 505, F3, 3, 22) (dual of [(505, 3), 1426, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(389, 505, F3, 4, 22) (dual of [(505, 4), 1931, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(389, 505, F3, 5, 22) (dual of [(505, 5), 2436, 23]-NRT-code) | [i] | ||
| 5 | Digital (67, 89, 505)-net over F3 | [i] | ||