Information on Result #547407
There is no linear OA(4235, 318, F4, 172) (dual of [318, 83, 173]-code), because residual code would yield OA(463, 145, S4, 43), but
- the linear programming bound shows that M ≥ 410852 595144 601422 661736 194475 352548 234222 916103 520325 789662 026727 829058 017732 594422 665880 071589 138518 417655 328617 787562 131456 / 4712 214848 200787 196384 454868 078661 057064 361851 730871 257084 069591 637575 047639 691128 659913 > 463 [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(4236, 319, F4, 173) (dual of [319, 83, 174]-code) | [i] | Truncation | |
| 2 | No linear OA(4237, 320, F4, 174) (dual of [320, 83, 175]-code) | [i] | ||
| 3 | No linear OA(4238, 321, F4, 175) (dual of [321, 83, 176]-code) | [i] | ||
| 4 | No linear OOA(4236, 318, F4, 2, 173) (dual of [(318, 2), 400, 174]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4237, 318, F4, 2, 174) (dual of [(318, 2), 399, 175]-NRT-code) | [i] | ||
| 6 | No linear OOA(4238, 318, F4, 2, 175) (dual of [(318, 2), 398, 176]-NRT-code) | [i] | ||
| 7 | No linear OOA(4235, 318, F4, 2, 172) (dual of [(318, 2), 401, 173]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4235, 318, F4, 3, 172) (dual of [(318, 3), 719, 173]-NRT-code) | [i] | ||
| 9 | No digital (63, 235, 318)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |