Best Known (59, 113, s)-Nets in Base 9
(59, 113, 232)-Net over F9 — Constructive and digital
Digital (59, 113, 232)-net over F9, using
- 1 times m-reduction [i] based on digital (59, 114, 232)-net over F9, using
- trace code for nets [i] based on digital (2, 57, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- trace code for nets [i] based on digital (2, 57, 116)-net over F81, using
(59, 113, 265)-Net over F9 — Digital
Digital (59, 113, 265)-net over F9, using
(59, 113, 13442)-Net in Base 9 — Upper bound on s
There is no (59, 113, 13443)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 676260 194095 573717 065315 019716 063045 318804 613393 043408 121594 763723 884027 817800 858495 154545 025402 145916 948745 > 9113 [i]