Information on Result #547943
There is no linear OA(5103, 251, F5, 78) (dual of [251, 148, 79]-code), because construction Y1 would yield
- OA(5102, 136, S5, 78), but
- the linear programming bound shows that M ≥ 57647 613224 889334 270126 424960 601803 968793 830856 856227 375095 702569 751665 578223 764896 392822 265625 / 270494 125252 812747 014144 > 5102 [i]
- linear OA(5148, 251, F5, 115) (dual of [251, 103, 116]-code), but
- discarding factors / shortening the dual code would yield linear OA(5148, 250, F5, 115) (dual of [250, 102, 116]-code), but
- residual code [i] would yield OA(533, 134, S5, 23), but
- the linear programming bound shows that M ≥ 7 905984 850652 471068 879589 438438 415527 343750 / 66 073848 265952 909413 > 533 [i]
- residual code [i] would yield OA(533, 134, S5, 23), but
- discarding factors / shortening the dual code would yield linear OA(5148, 250, F5, 115) (dual of [250, 102, 116]-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.
Other Results with Identical Parameters
None.
Depending Results
None.