Information on Result #561409
There is no linear OOA(4238, 318, F4, 2, 175) (dual of [(318, 2), 398, 176]-NRT-code), because 3 step m-reduction would yield linear OA(4235, 318, F4, 172) (dual of [318, 83, 173]-code), but
- residual code [i] 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 OOA(4238, 318, F4, 3, 175) (dual of [(318, 3), 716, 176]-NRT-code) | [i] | Depth Reduction |