Best Known (80, 121, s)-Nets in Base 5
(80, 121, 296)-Net over F5 — Constructive and digital
Digital (80, 121, 296)-net over F5, using
- 1 times m-reduction [i] based on digital (80, 122, 296)-net over F5, using
- trace code for nets [i] based on digital (19, 61, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- trace code for nets [i] based on digital (19, 61, 148)-net over F25, using
(80, 121, 520)-Net over F5 — Digital
Digital (80, 121, 520)-net over F5, using
(80, 121, 32424)-Net in Base 5 — Upper bound on s
There is no (80, 121, 32425)-net in base 5, because
- 1 times m-reduction [i] would yield (80, 120, 32425)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 752588 566331 610821 954943 738337 043854 662106 935811 096134 262165 371132 422020 043296 926001 > 5120 [i]