Best Known (19, 43, s)-Nets in Base 128
(19, 43, 384)-Net over F128 — Constructive and digital
Digital (19, 43, 384)-net over F128, using
- 2 times m-reduction [i] based on digital (19, 45, 384)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (3, 16, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- digital (3, 29, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128 (see above)
- digital (3, 16, 192)-net over F128, using
- (u, u+v)-construction [i] based on
(19, 43, 515)-Net in Base 128 — Constructive
(19, 43, 515)-net in base 128, using
- (u, u+v)-construction [i] based on
- (2, 14, 257)-net in base 128, using
- 2 times m-reduction [i] based on (2, 16, 257)-net in base 128, using
- base change [i] based on digital (0, 14, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- base change [i] based on digital (0, 14, 257)-net over F256, using
- 2 times m-reduction [i] based on (2, 16, 257)-net in base 128, using
- (5, 29, 258)-net in base 128, using
- 3 times m-reduction [i] based on (5, 32, 258)-net in base 128, using
- base change [i] based on digital (1, 28, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- base change [i] based on digital (1, 28, 258)-net over F256, using
- 3 times m-reduction [i] based on (5, 32, 258)-net in base 128, using
- (2, 14, 257)-net in base 128, using
(19, 43, 658)-Net over F128 — Digital
Digital (19, 43, 658)-net over F128, using
(19, 43, 1480443)-Net in Base 128 — Upper bound on s
There is no (19, 43, 1480444)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 4 074095 375712 467771 306411 697499 637936 527126 501583 128190 151591 599199 257432 974633 713557 644124 > 12843 [i]