Best Known (60−31, 60, s)-Nets in Base 128
(60−31, 60, 504)-Net over F128 — Constructive and digital
Digital (29, 60, 504)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (5, 20, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- digital (9, 40, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- digital (5, 20, 216)-net over F128, using
(60−31, 60, 547)-Net in Base 128 — Constructive
(29, 60, 547)-net in base 128, using
- (u, u+v)-construction [i] based on
- (5, 20, 259)-net in base 128, using
- 4 times m-reduction [i] based on (5, 24, 259)-net in base 128, using
- base change [i] based on digital (2, 21, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- base change [i] based on digital (2, 21, 259)-net over F256, using
- 4 times m-reduction [i] based on (5, 24, 259)-net in base 128, using
- digital (9, 40, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- (5, 20, 259)-net in base 128, using
(60−31, 60, 1569)-Net over F128 — Digital
Digital (29, 60, 1569)-net over F128, using
(60−31, 60, large)-Net in Base 128 — Upper bound on s
There is no (29, 60, large)-net in base 128, because
- 29 times m-reduction [i] would yield (29, 31, large)-net in base 128, but