Best Known (131−96, 131, s)-Nets in Base 8
(131−96, 131, 65)-Net over F8 — Constructive and digital
Digital (35, 131, 65)-net over F8, using
- t-expansion [i] based on digital (14, 131, 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
(131−96, 131, 112)-Net over F8 — Digital
Digital (35, 131, 112)-net over F8, using
- net from sequence [i] based on digital (35, 111)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 35 and N(F) ≥ 112, using
(131−96, 131, 750)-Net in Base 8 — Upper bound on s
There is no (35, 131, 751)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 20804 609993 146775 771486 543108 924221 002697 615704 600477 981798 118588 092475 021803 674782 499664 908472 741112 744383 997276 120236 > 8131 [i]