Information on Result #1304537
Linear OA(3133, 916, F3, 30) (dual of [916, 783, 31]-code), using 172 step Varšamov–Edel lengthening with (ri) = (3, 1, 1, 1, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 10 times 0, 1, 13 times 0, 1, 17 times 0, 1, 21 times 0, 1, 24 times 0, 1, 28 times 0, 1, 30 times 0) based on linear OA(3117, 728, F3, 30) (dual of [728, 611, 31]-code), using
- the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(3133, 916, F3, 2, 30) (dual of [(916, 2), 1699, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3133, 916, F3, 3, 30) (dual of [(916, 3), 2615, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(3133, 916, F3, 4, 30) (dual of [(916, 4), 3531, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(3133, 916, F3, 5, 30) (dual of [(916, 5), 4447, 31]-NRT-code) | [i] | ||
| 5 | Digital (103, 133, 916)-net over F3 | [i] | ||