Information on Result #2232780
Linear OA(3126, 2186, F3, 27) (dual of [2186, 2060, 28]-code), using 1 times truncation based on linear OA(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
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(3126, 1214, F3, 2, 27) (dual of [(1214, 2), 2302, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3126, 1214, F3, 3, 27) (dual of [(1214, 3), 3516, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(3126, 1214, F3, 4, 27) (dual of [(1214, 4), 4730, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(3126, 1214, F3, 5, 27) (dual of [(1214, 5), 5944, 28]-NRT-code) | [i] | ||
| 5 | Digital (99, 126, 1214)-net over F3 | [i] | ||
| 6 | Linear OA(3138, 2239, F3, 27) (dual of [2239, 2101, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3139, 2256, F3, 27) (dual of [2256, 2117, 28]-code) | [i] | ||
| 8 | Linear OA(3140, 2278, F3, 27) (dual of [2278, 2138, 28]-code) | [i] | ||
| 9 | Linear OA(3141, 2306, F3, 27) (dual of [2306, 2165, 28]-code) | [i] | ||
| 10 | Linear OA(3142, 2341, F3, 27) (dual of [2341, 2199, 28]-code) | [i] | ||
| 11 | Linear OOA(3126, 1093, F3, 2, 27) (dual of [(1093, 2), 2060, 28]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(3126, 728, F3, 3, 27) (dual of [(728, 3), 2058, 28]-NRT-code) | [i] | ||
| 13 | Linear OOA(3126, 546, F3, 4, 27) (dual of [(546, 4), 2058, 28]-NRT-code) | [i] | ||
| 14 | Linear OOA(3126, 437, F3, 5, 27) (dual of [(437, 5), 2059, 28]-NRT-code) | [i] | ||