Information on Result #3145079
There is no digital (53, 151, 213)-net over F3, because 2 times m-reduction would yield digital (53, 149, 213)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3149, 213, F3, 96) (dual of [213, 64, 97]-code), but
- residual code [i] would yield OA(353, 116, S3, 32), but
- the linear programming bound shows that M ≥ 30 210723 713137 067177 793975 595437 389937 655484 598142 095463 860309 406988 954987 805424 205733 738518 195687 105322 605711 836142 015912 625489 745728 349344 380080 374822 240851 452346 970066 591441 / 1 515367 982730 495420 433932 584698 701039 350523 187407 082539 706877 207417 526512 266220 467507 257976 353777 430603 205351 330224 160963 457142 806942 300281 987731 316143 > 353 [i]
- residual code [i] would yield OA(353, 116, S3, 32), 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.