Information on Result #1304991
Linear OA(3196, 2296, F3, 39) (dual of [2296, 2100, 40]-code), using 96 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 10 times 0, 1, 15 times 0, 1, 19 times 0, 1, 25 times 0) based on linear OA(3182, 2186, F3, 39) (dual of [2186, 2004, 40]-code), using
- 1 times truncation [i] based on linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using
- an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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(3196, 2296, F3, 2, 39) (dual of [(2296, 2), 4396, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3196, 2296, F3, 3, 39) (dual of [(2296, 3), 6692, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(3196, 2296, F3, 4, 39) (dual of [(2296, 4), 8988, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(3196, 2296, F3, 5, 39) (dual of [(2296, 5), 11284, 40]-NRT-code) | [i] | ||
| 5 | Digital (157, 196, 2296)-net over F3 | [i] | ||
| 6 | Linear OOA(3196, 1148, F3, 2, 39) (dual of [(1148, 2), 2100, 40]-NRT-code) | [i] | OOA Folding | |