Information on Result #676677
Linear OA(3135, 749, F3, 33) (dual of [749, 614, 34]-code), using construction X applied to Ce(33) ⊂ Ce(28) based on
- linear OA(3130, 729, F3, 34) (dual of [729, 599, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3112, 729, F3, 29) (dual of [729, 617, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(3135, 690, F3, 2, 33) (dual of [(690, 2), 1245, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3135, 690, F3, 3, 33) (dual of [(690, 3), 1935, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(3135, 690, F3, 4, 33) (dual of [(690, 4), 2625, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(3135, 690, F3, 5, 33) (dual of [(690, 5), 3315, 34]-NRT-code) | [i] | ||
| 5 | Digital (102, 135, 690)-net over F3 | [i] | ||