Information on Result #676689
Linear OA(397, 753, F3, 23) (dual of [753, 656, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
- linear OA(391, 729, F3, 23) (dual of [729, 638, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(36, 24, F3, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(397, 640, F3, 2, 23) (dual of [(640, 2), 1183, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(397, 640, F3, 3, 23) (dual of [(640, 3), 1823, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(397, 640, F3, 4, 23) (dual of [(640, 4), 2463, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(397, 640, F3, 5, 23) (dual of [(640, 5), 3103, 24]-NRT-code) | [i] | ||
| 5 | Digital (74, 97, 640)-net over F3 | [i] | ||
| 6 | Linear OOA(397, 251, F3, 3, 23) (dual of [(251, 3), 656, 24]-NRT-code) | [i] | OOA Folding | |