Information on Result #1305037
Linear OA(3165, 824, F3, 40) (dual of [824, 659, 41]-code), using 84 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 1, 0, 0, 1, 4 times 0, 1, 8 times 0, 1, 11 times 0, 1, 14 times 0, 1, 17 times 0, 1, 18 times 0) based on linear OA(3154, 729, F3, 40) (dual of [729, 575, 41]-code), using
- an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, 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(3165, 824, F3, 2, 40) (dual of [(824, 2), 1483, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3165, 824, F3, 3, 40) (dual of [(824, 3), 2307, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(3165, 824, F3, 4, 40) (dual of [(824, 4), 3131, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(3165, 824, F3, 5, 40) (dual of [(824, 5), 3955, 41]-NRT-code) | [i] | ||
| 5 | Digital (125, 165, 824)-net over F3 | [i] | ||
| 6 | Linear OOA(3165, 412, F3, 2, 40) (dual of [(412, 2), 659, 41]-NRT-code) | [i] | OOA Folding | |