Information on Result #3146035
There is no digital (64, 177, 273)-net over F3, because 2 times m-reduction would yield digital (64, 175, 273)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3175, 273, F3, 111) (dual of [273, 98, 112]-code), but
- residual code [i] would yield OA(364, 161, S3, 37), but
- the linear programming bound shows that M ≥ 7124 056298 171553 060145 512070 101885 508128 763816 468197 882803 873109 587840 749958 136725 704882 860854 621348 509725 614915 801985 233741 270237 015572 723799 162880 / 1849 132532 054904 028903 059267 432977 569153 174957 623065 810891 308528 181949 658595 763280 264454 791509 457429 141646 539096 009289 > 364 [i]
- residual code [i] would yield OA(364, 161, S3, 37), 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.