Information on Result #676745
Linear OA(3144, 757, F3, 35) (dual of [757, 613, 36]-code), using construction X applied to Ce(34) ⊂ Ce(28) 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(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(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
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(3144, 740, F3, 2, 35) (dual of [(740, 2), 1336, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3144, 740, F3, 3, 35) (dual of [(740, 3), 2076, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3144, 740, F3, 4, 35) (dual of [(740, 4), 2816, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3144, 740, F3, 5, 35) (dual of [(740, 5), 3556, 36]-NRT-code) | [i] | ||
| 5 | Digital (109, 144, 740)-net over F3 | [i] | ||