Information on Result #547752
There is no linear OA(3102, 227, F3, 62) (dual of [227, 125, 63]-code), because construction Y1 would yield
- OA(3101, 149, S3, 62), but
- the linear programming bound shows that M ≥ 8233 296774 908639 119144 152333 781856 470978 676092 263597 209204 295760 374352 043379 617679 / 5157 240609 884987 743181 747606 796875 > 3101 [i]
- linear OA(3125, 227, F3, 78) (dual of [227, 102, 79]-code), but
- discarding factors / shortening the dual code would yield linear OA(3125, 224, F3, 78) (dual of [224, 99, 79]-code), but
- residual code [i] would yield OA(347, 145, S3, 26), but
- the linear programming bound shows that M ≥ 831 528639 252434 333719 554172 193113 411271 544000 / 29642 853144 349355 775349 > 347 [i]
- residual code [i] would yield OA(347, 145, S3, 26), but
- discarding factors / shortening the dual code would yield linear OA(3125, 224, F3, 78) (dual of [224, 99, 79]-code), but
Mode: Bound (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
None.