Best Known (151, 151+62, s)-Nets in Base 3
(151, 151+62, 264)-Net over F3 — Constructive and digital
Digital (151, 213, 264)-net over F3, using
- trace code for nets [i] based on digital (9, 71, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
(151, 151+62, 516)-Net over F3 — Digital
Digital (151, 213, 516)-net over F3, using
(151, 151+62, 11753)-Net in Base 3 — Upper bound on s
There is no (151, 213, 11754)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 424147 046965 378911 261485 519468 709719 625370 131550 774941 016554 191737 491566 017681 422322 770562 035850 279641 > 3213 [i]