Information on Result #599403
There is no digital (36, 127, 183)-net over F4, because extracting embedded orthogonal array would yield linear OA(4127, 183, F4, 91) (dual of [183, 56, 92]-code), but
- construction Y1 [i] would yield
- OA(4126, 147, S4, 91), but
- the linear programming bound shows that M ≥ 340456 058530 442352 522099 250356 400004 547517 225644 691214 440472 273914 376101 952655 553716 027392 / 33 253308 357995 > 4126 [i]
- OA(456, 183, S4, 36), but
- discarding factors would yield OA(456, 179, S4, 36), but
- the linear programming bound shows that M ≥ 31 511442 125419 258293 449040 901884 044621 696169 017943 480590 506370 111897 600000 / 5839 126320 766662 475522 447173 784673 305301 > 456 [i]
- discarding factors would yield OA(456, 179, S4, 36), but
- OA(4126, 147, S4, 91), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.