Information on Result #59821
There is no OA(465, 136, S4, 45), because the linear programming bound shows that M ≥ 415878 730529 031135 021679 860495 672856 565078 457128 582331 480821 965858 300674 152452 442836 617388 483062 874023 037003 308108 967020 842896 601894 883099 015808 041663 566504 021681 595442 145183 008509 397628 248876 052647 239899 999262 067613 171313 541120 / 282 957338 342515 520783 463442 333260 804660 722953 291161 529077 196208 799173 693527 287967 908946 060987 265800 746662 194089 764699 465545 861267 440205 293981 112010 916143 596828 540138 272039 423935 111737 383517 > 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(465, 136, S4, 2, 45) | [i] | Depth Reduction | |
| 2 | No OOA(465, 136, S4, 3, 45) | [i] | ||
| 3 | No (20, 65, 136)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4245, 317, F4, 180) (dual of [317, 72, 181]-code) | [i] | Residual Code | |