Best Known (61, 141, s)-Nets in Base 8
(61, 141, 99)-Net over F8 — Constructive and digital
Digital (61, 141, 99)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (7, 47, 34)-net over F8, using
- net from sequence [i] based on digital (7, 33)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using
- net from sequence [i] based on digital (7, 33)-sequence over F8, using
- digital (14, 94, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- digital (7, 47, 34)-net over F8, using
(61, 141, 144)-Net over F8 — Digital
Digital (61, 141, 144)-net over F8, using
- t-expansion [i] based on digital (45, 141, 144)-net over F8, using
- net from sequence [i] based on digital (45, 143)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144, using
- net from sequence [i] based on digital (45, 143)-sequence over F8, using
(61, 141, 3411)-Net in Base 8 — Upper bound on s
There is no (61, 141, 3412)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 21 890542 210678 621933 366875 283938 626871 070877 653484 223017 032953 547776 681915 929098 765636 976703 111858 337806 614668 626283 416708 151380 > 8141 [i]