Information on Result #60941

There is no OA(5138, 148, S5, 109), because the linear programming bound shows that M ≥ 86 158555 819318 512642 331328 682663 835348 540649 443889 196923 328992 021307 026760 723601 910285 651683 807373 046875 / 29 425011 > 5138

Mode: Bound.

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:

ResultThis
result
only
Method
1No OA(5139, 149, S5, 110) [i]Truncation
2No OA(5140, 150, S5, 111) [i]
3No OA(5141, 151, S5, 112) [i]
4No OA(5142, 152, S5, 113) [i]
5No OA(5143, 153, S5, 114) [i]
6No OA(5144, 154, S5, 115) [i]
7No OA(5145, 155, S5, 116) [i]
8No OA(5146, 156, S5, 117) [i]
9No OA(5147, 157, S5, 118) [i]
10No OA(5148, 158, S5, 119) [i]
11No OA(5149, 159, S5, 120) [i]
12No OA(5150, 160, S5, 121) [i]
13No OOA(5138, 148, S5, 2, 109) [i]Depth Reduction
14No linear OA(5139, 164, F5, 109) (dual of [164, 25, 110]-code) [i]Construction Y1 (Bound)