Information on Result #676691
Linear OA(390, 749, F3, 21) (dual of [749, 659, 22]-code), using construction X applied to Ce(21) ⊂ Ce(16) 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(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(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(390, 664, F3, 2, 21) (dual of [(664, 2), 1238, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(390, 664, F3, 3, 21) (dual of [(664, 3), 1902, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(390, 664, F3, 4, 21) (dual of [(664, 4), 2566, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(390, 664, F3, 5, 21) (dual of [(664, 5), 3230, 22]-NRT-code) | [i] | ||
| 5 | Digital (69, 90, 664)-net over F3 | [i] | ||