Best Known (33, 70, s)-Nets in Base 128
(33, 70, 504)-Net over F128 — Constructive and digital
Digital (33, 70, 504)-net over F128, using
- 1 times m-reduction [i] based on digital (33, 71, 504)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (5, 24, 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, 47, 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, 24, 216)-net over F128, using
- (u, u+v)-construction [i] based on
(33, 70, 548)-Net in Base 128 — Constructive
(33, 70, 548)-net in base 128, using
- (u, u+v)-construction [i] based on
- (6, 24, 260)-net in base 128, using
- base change [i] based on digital (3, 21, 260)-net over F256, using
- net from sequence [i] based on digital (3, 259)-sequence over F256, using
- base change [i] based on digital (3, 21, 260)-net over F256, using
- digital (9, 46, 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
- (6, 24, 260)-net in base 128, using
(33, 70, 1425)-Net over F128 — Digital
Digital (33, 70, 1425)-net over F128, using
(33, 70, 7111546)-Net in Base 128 — Upper bound on s
There is no (33, 70, 7111547)-net in base 128, because
- 1 times m-reduction [i] would yield (33, 69, 7111547)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 24 974050 150997 498041 630158 672673 929750 631497 580707 420997 686777 827422 067546 126946 397677 363169 971406 984623 460798 446061 937303 892002 681007 681115 983881 > 12869 [i]