Best Known (61, 129, s)-Nets in Base 5
(61, 129, 82)-Net over F5 — Constructive and digital
Digital (61, 129, 82)-net over F5, using
- t-expansion [i] based on digital (48, 129, 82)-net over F5, using
- net from sequence [i] based on digital (48, 81)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 48 and N(F) ≥ 82, using
- net from sequence [i] based on digital (48, 81)-sequence over F5, using
(61, 129, 120)-Net over F5 — Digital
Digital (61, 129, 120)-net over F5, using
- net from sequence [i] based on digital (61, 119)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 61 and N(F) ≥ 120, using
(61, 129, 1493)-Net in Base 5 — Upper bound on s
There is no (61, 129, 1494)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1 483955 769421 302088 055245 782413 511653 281257 540162 321047 913327 379738 806229 076764 074805 249665 > 5129 [i]