Information on Result #676619
Linear OA(383, 745, F3, 20) (dual of [745, 662, 21]-code), using construction X applied to Ce(19) ⊂ Ce(16) based on
- linear OA(379, 729, F3, 20) (dual of [729, 650, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(367, 729, F3, 17) (dual of [729, 662, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(383, 547, F3, 2, 20) (dual of [(547, 2), 1011, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(383, 547, F3, 3, 20) (dual of [(547, 3), 1558, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(383, 547, F3, 4, 20) (dual of [(547, 4), 2105, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(383, 547, F3, 5, 20) (dual of [(547, 5), 2652, 21]-NRT-code) | [i] | ||
| 5 | Digital (63, 83, 547)-net over F3 | [i] | ||