Information on Result #676688
Linear OA(396, 749, F3, 23) (dual of [749, 653, 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(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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(396, 606, F3, 2, 23) (dual of [(606, 2), 1116, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(396, 606, F3, 3, 23) (dual of [(606, 3), 1722, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(396, 606, F3, 4, 23) (dual of [(606, 4), 2328, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(396, 606, F3, 5, 23) (dual of [(606, 5), 2934, 24]-NRT-code) | [i] | ||
| 5 | Digital (73, 96, 606)-net over F3 | [i] | ||