Information on Result #1304875
Linear OA(3153, 791, F3, 37) (dual of [791, 638, 38]-code), using 51 step Varšamov–Edel lengthening with (ri) = (3, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 5 times 0, 1, 8 times 0, 1, 10 times 0, 1, 13 times 0) based on linear OA(3142, 729, F3, 37) (dual of [729, 587, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(3153, 790, F3, 2, 37) (dual of [(790, 2), 1427, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3153, 790, F3, 3, 37) (dual of [(790, 3), 2217, 38]-NRT-code) | [i] | ||
| 3 | Linear OOA(3153, 790, F3, 4, 37) (dual of [(790, 4), 3007, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(3153, 790, F3, 5, 37) (dual of [(790, 5), 3797, 38]-NRT-code) | [i] | ||
| 5 | Digital (116, 153, 790)-net over F3 | [i] | ||