Information on Result #1323347
Linear OA(3113, 155, F3, 48) (dual of [155, 42, 49]-code), using construction X with Varšamov bound based on
- linear OA(3110, 150, F3, 48) (dual of [150, 40, 49]-code), using
- linear OA(3110, 152, F3, 46) (dual of [152, 42, 47]-code), using Gilbert–Varšamov bound and bm = 3110 > Vbs−1(k−1) = 27970 883178 111360 048838 525354 009311 594990 336757 507659 [i]
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3114, 157, F3, 48) (dual of [157, 43, 49]-code) | [i] | Construction X with Varšamov Bound | |