Information on Result #59807

There is no OA(465, 156, S4, 44), because the linear programming bound shows that M ≥ 5305 672794 944537 381320 515598 514645 629008 946704 424695 546266 632663 854579 036277 493526 466626 448910 185539 633024 632652 385646 851129 344000 / 3 530621 465654 281569 250779 664225 038700 823798 252333 134165 234221 216150 895884 348866 248497 833837 > 465

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 OOA(465, 156, S4, 2, 44) [i]Depth Reduction
2No OOA(465, 156, S4, 3, 44) [i]
3No (21, 65, 156)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4241, 333, F4, 176) (dual of [333, 92, 177]-code) [i]Residual Code