Best Known (35, 35+41, s)-Nets in Base 128
(35, 35+41, 504)-Net over F128 — Constructive and digital
Digital (35, 76, 504)-net over F128, using
- 1 times m-reduction [i] based on digital (35, 77, 504)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (5, 26, 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, 51, 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, 26, 216)-net over F128, using
- (u, u+v)-construction [i] based on
(35, 35+41, 547)-Net in Base 128 — Constructive
(35, 76, 547)-net in base 128, using
- (u, u+v)-construction [i] based on
- (6, 26, 259)-net in base 128, using
- 6 times m-reduction [i] based on (6, 32, 259)-net in base 128, using
- base change [i] based on digital (2, 28, 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, 28, 259)-net over F256, using
- 6 times m-reduction [i] based on (6, 32, 259)-net in base 128, using
- digital (9, 50, 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, 26, 259)-net in base 128, using
(35, 35+41, 1272)-Net over F128 — Digital
Digital (35, 76, 1272)-net over F128, using
(35, 35+41, 5218420)-Net in Base 128 — Upper bound on s
There is no (35, 76, 5218421)-net in base 128, because
- 1 times m-reduction [i] would yield (35, 75, 5218421)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 109 836868 114616 914772 207905 008885 558004 832747 310898 006487 284744 995941 661548 213878 413029 076216 429543 918140 942308 718644 425491 092077 411589 358735 012037 742386 989171 > 12875 [i]