Information on Result #59790
There is no OA(462, 130, S4, 43), because the linear programming bound shows that M ≥ 4019 078744 078071 827932 976683 558087 106372 035655 553747 017450 560398 815316 874632 749975 367234 727517 108611 722285 782813 728407 121836 637500 182422 765574 307752 283228 460101 184880 165144 200806 158609 438983 358128 411916 632064 / 188 119748 538951 428307 632682 475057 886108 439303 255341 851012 879539 112075 808835 961217 242169 809210 626046 940984 309082 261094 059915 883134 270392 288329 037536 921218 642905 933928 040633 > 462
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(462, 130, S4, 2, 43) | [i] | Depth Reduction | |
| 2 | No OOA(462, 130, S4, 3, 43) | [i] | ||
| 3 | No (19, 62, 130)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4234, 303, F4, 172) (dual of [303, 69, 173]-code) | [i] | Residual Code | |