Information on Result #1304687
Linear OA(3168, 2275, F3, 33) (dual of [2275, 2107, 34]-code), using 75 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 1, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 8 times 0, 1, 11 times 0, 1, 14 times 0, 1, 19 times 0) based on linear OA(3154, 2186, F3, 33) (dual of [2186, 2032, 34]-code), using
- 1 times truncation [i] based on linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(3168, 2275, F3, 2, 33) (dual of [(2275, 2), 4382, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3168, 2275, F3, 3, 33) (dual of [(2275, 3), 6657, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(3168, 2275, F3, 4, 33) (dual of [(2275, 4), 8932, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(3168, 2275, F3, 5, 33) (dual of [(2275, 5), 11207, 34]-NRT-code) | [i] | ||
| 5 | Digital (135, 168, 2275)-net over F3 | [i] | ||
| 6 | Linear OOA(3168, 1137, F3, 2, 33) (dual of [(1137, 2), 2106, 34]-NRT-code) | [i] | OOA Folding | |