Information on Result #1304439
Linear OA(3140, 2278, F3, 27) (dual of [2278, 2138, 28]-code), using 78 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 1, 0, 0, 1, 4 times 0, 1, 6 times 0, 1, 8 times 0, 1, 11 times 0, 1, 15 times 0, 1, 20 times 0) based on linear OA(3126, 2186, F3, 27) (dual of [2186, 2060, 28]-code), using
- 1 times truncation [i] 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: 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, 2264, F3, 2, 27) (dual of [(2264, 2), 4388, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3140, 2264, F3, 3, 27) (dual of [(2264, 3), 6652, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(3140, 2264, F3, 4, 27) (dual of [(2264, 4), 8916, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(3140, 2264, F3, 5, 27) (dual of [(2264, 5), 11180, 28]-NRT-code) | [i] | ||
| 5 | Digital (113, 140, 2264)-net over F3 | [i] | ||
| 6 | Linear OOA(3140, 1139, F3, 2, 27) (dual of [(1139, 2), 2138, 28]-NRT-code) | [i] | OOA Folding | |