Information on Result #676537
Linear OA(374, 736, F3, 19) (dual of [736, 662, 20]-code), using construction X applied to Ce(18) ⊂ Ce(16) based on
- 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(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(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(374, 387, F3, 2, 19) (dual of [(387, 2), 700, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(374, 387, F3, 3, 19) (dual of [(387, 3), 1087, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(374, 387, F3, 4, 19) (dual of [(387, 4), 1474, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(374, 387, F3, 5, 19) (dual of [(387, 5), 1861, 20]-NRT-code) | [i] | ||
| 5 | Digital (55, 74, 387)-net over F3 | [i] | ||
| 6 | Linear OOA(374, 368, F3, 2, 19) (dual of [(368, 2), 662, 20]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(374, 245, F3, 3, 19) (dual of [(245, 3), 661, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(374, 184, F3, 4, 19) (dual of [(184, 4), 662, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(374, 147, F3, 5, 19) (dual of [(147, 5), 661, 20]-NRT-code) | [i] | ||