Information on Result #58761

There is no OA(358, 173, S3, 32), because the linear programming bound shows that M ≥ 47 314229 835710 776345 670615 418214 790563 428291 670976 086718 521800 / 9965 095822 320687 546955 148607 190123 > 358

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.

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:

ResultThis
result
only
Method
1No OA(359, 174, S3, 33) [i]Truncation
2No linear OA(3154, 270, F3, 96) (dual of [270, 116, 97]-code) [i]Residual Code
3No linear OA(3121, 179, F3, 76) (dual of [179, 58, 77]-code) [i]Construction Y1 (Bound)
4No linear OA(3123, 181, F3, 77) (dual of [181, 58, 78]-code) [i]