Best Known (10, 22, s)-Nets in Base 128
(10, 22, 387)-Net over F128 — Constructive and digital
Digital (10, 22, 387)-net over F128, using
- 1 times m-reduction [i] based on digital (10, 23, 387)-net over F128, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 4, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 0 and N(F) ≥ 129, using
- the rational function field F128(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- digital (0, 6, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128 (see above)
- digital (0, 13, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128 (see above)
- digital (0, 4, 129)-net over F128, using
- generalized (u, u+v)-construction [i] based on
(10, 22, 515)-Net in Base 128 — Constructive
(10, 22, 515)-net in base 128, using
- (u, u+v)-construction [i] based on
- (1, 7, 257)-net in base 128, using
- 1 times m-reduction [i] based on (1, 8, 257)-net in base 128, using
- base change [i] based on digital (0, 7, 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, 7, 257)-net over F256, using
- 1 times m-reduction [i] based on (1, 8, 257)-net in base 128, using
- (3, 15, 258)-net in base 128, using
- 1 times m-reduction [i] based on (3, 16, 258)-net in base 128, using
- base change [i] based on digital (1, 14, 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, 14, 258)-net over F256, using
- 1 times m-reduction [i] based on (3, 16, 258)-net in base 128, using
- (1, 7, 257)-net in base 128, using
(10, 22, 639)-Net over F128 — Digital
Digital (10, 22, 639)-net over F128, using
(10, 22, 1255607)-Net in Base 128 — Upper bound on s
There is no (10, 22, 1255608)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 22835 975071 427281 134915 632640 079897 869210 400075 > 12822 [i]