Information on Result #547454
There is no linear OA(4245, 317, F4, 180) (dual of [317, 72, 181]-code), because residual code would yield OA(465, 136, S4, 45), but
- 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 [i]
Mode: Bound (linear).
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(4246, 318, F4, 181) (dual of [318, 72, 182]-code) | [i] | Truncation | |
| 2 | No linear OA(4247, 319, F4, 182) (dual of [319, 72, 183]-code) | [i] | ||
| 3 | No linear OA(4248, 320, F4, 183) (dual of [320, 72, 184]-code) | [i] | ||
| 4 | No linear OOA(4246, 317, F4, 2, 181) (dual of [(317, 2), 388, 182]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4247, 317, F4, 2, 182) (dual of [(317, 2), 387, 183]-NRT-code) | [i] | ||
| 6 | No linear OOA(4248, 317, F4, 2, 183) (dual of [(317, 2), 386, 184]-NRT-code) | [i] | ||
| 7 | No linear OOA(4245, 317, F4, 2, 180) (dual of [(317, 2), 389, 181]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4245, 317, F4, 3, 180) (dual of [(317, 3), 706, 181]-NRT-code) | [i] | ||
| 9 | No digital (65, 245, 317)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |