Information on Result #676598
Linear OA(3140, 745, F3, 35) (dual of [745, 605, 36]-code), using construction X applied to Ce(34) ⊂ Ce(31) 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(3124, 729, F3, 32) (dual of [729, 605, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(34, 16, F3, 2) (dual of [16, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), 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(3140, 645, F3, 2, 35) (dual of [(645, 2), 1150, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3140, 645, F3, 3, 35) (dual of [(645, 3), 1795, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3140, 645, F3, 4, 35) (dual of [(645, 4), 2440, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3140, 645, F3, 5, 35) (dual of [(645, 5), 3085, 36]-NRT-code) | [i] | ||
| 5 | Digital (105, 140, 645)-net over F3 | [i] | ||