Information on Result #1317789
Linear OA(3105, 130, F3, 49) (dual of [130, 25, 50]-code), using construction X with Varšamov bound based on
- linear OA(395, 116, F3, 49) (dual of [116, 21, 50]-code), using
- discarding factors / shortening the dual code based on linear OA(395, 120, F3, 49) (dual of [120, 25, 50]-code), using
- 1 times truncation [i] based on linear OA(396, 121, F3, 50) (dual of [121, 25, 51]-code), using
- a “GraCyc†code from Grassl’s database [i]
- 1 times truncation [i] based on linear OA(396, 121, F3, 50) (dual of [121, 25, 51]-code), using
- discarding factors / shortening the dual code based on linear OA(395, 120, F3, 49) (dual of [120, 25, 50]-code), using
- linear OA(395, 120, F3, 43) (dual of [120, 25, 44]-code), using Gilbert–Varšamov bound and bm = 395 > Vbs−1(k−1) = 1637 042876 947299 876914 864216 529802 337244 026571 [i]
- linear OA(36, 10, F3, 5) (dual of [10, 4, 6]-code), using
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3106, 132, F3, 49) (dual of [132, 26, 50]-code) | [i] | Construction X with Varšamov Bound | |