Information on Result #2266174
Linear OA(3149, 2237, F3, 29) (dual of [2237, 2088, 30]-code), using 1 times code embedding in larger space based on linear OA(3148, 2236, F3, 29) (dual of [2236, 2088, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(3134, 2187, F3, 29) (dual of [2187, 2053, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(399, 2187, F3, 22) (dual of [2187, 2088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(314, 49, F3, 6) (dual of [49, 35, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-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(3149, 2227, F3, 2, 29) (dual of [(2227, 2), 4305, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3149, 2227, F3, 3, 29) (dual of [(2227, 3), 6532, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(3149, 2227, F3, 4, 29) (dual of [(2227, 4), 8759, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(3149, 2227, F3, 5, 29) (dual of [(2227, 5), 10986, 30]-NRT-code) | [i] | ||
| 5 | Digital (120, 149, 2227)-net over F3 | [i] | ||