Information on Result #59758
There is no OA(458, 110, S4, 41), because the linear programming bound shows that M ≥ 1232 155961 216230 168086 977678 056475 191089 409710 805770 829825 897828 417067 677196 009558 961106 027628 461497 995772 222254 044023 160230 949557 990006 504845 840607 997118 369373 847851 273455 403008 / 13446 810158 281327 760184 995983 919490 800441 646762 168115 151101 794360 608708 987818 154852 821096 884734 101312 394526 499211 581201 357552 019470 400051 102575 > 458
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(458, 110, S4, 2, 41) | [i] | Depth Reduction | |
| 2 | No OOA(458, 110, S4, 3, 41) | [i] | ||
| 3 | No (17, 58, 110)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4222, 275, F4, 164) (dual of [275, 53, 165]-code) | [i] | Residual Code | |