Information on Result #676674
Linear OA(3141, 749, F3, 35) (dual of [749, 608, 36]-code), using construction X applied to Ce(34) ⊂ Ce(30) based on
- linear OA(3136, 729, F3, 35) (dual of [729, 593, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3118, 729, F3, 31) (dual of [729, 611, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(3141, 667, F3, 2, 35) (dual of [(667, 2), 1193, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3141, 667, F3, 3, 35) (dual of [(667, 3), 1860, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3141, 667, F3, 4, 35) (dual of [(667, 4), 2527, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3141, 667, F3, 5, 35) (dual of [(667, 5), 3194, 36]-NRT-code) | [i] | ||
| 5 | Digital (106, 141, 667)-net over F3 | [i] | ||