Information on Result #2266720
Linear OA(3188, 2227, F3, 38) (dual of [2227, 2039, 39]-code), using 2 times code embedding in larger space based on linear OA(3186, 2225, F3, 38) (dual of [2225, 2039, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(31) [i] based on
- linear OA(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3148, 2187, F3, 32) (dual of [2187, 2039, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-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(3188, 2115, F3, 2, 38) (dual of [(2115, 2), 4042, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3188, 2115, F3, 3, 38) (dual of [(2115, 3), 6157, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(3188, 2115, F3, 4, 38) (dual of [(2115, 4), 8272, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(3188, 2115, F3, 5, 38) (dual of [(2115, 5), 10387, 39]-NRT-code) | [i] | ||
| 5 | Digital (150, 188, 2115)-net over F3 | [i] | ||