Best Known (107, 143, s)-Nets in Base 4
(107, 143, 531)-Net over F4 — Constructive and digital
Digital (107, 143, 531)-net over F4, using
- 7 times m-reduction [i] based on digital (107, 150, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 50, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 50, 177)-net over F64, using
(107, 143, 576)-Net in Base 4 — Constructive
(107, 143, 576)-net in base 4, using
- t-expansion [i] based on (106, 143, 576)-net in base 4, using
- 1 times m-reduction [i] based on (106, 144, 576)-net in base 4, using
- trace code for nets [i] based on (10, 48, 192)-net in base 64, using
- 1 times m-reduction [i] based on (10, 49, 192)-net in base 64, using
- base change [i] based on digital (3, 42, 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
- base change [i] based on digital (3, 42, 192)-net over F128, using
- 1 times m-reduction [i] based on (10, 49, 192)-net in base 64, using
- trace code for nets [i] based on (10, 48, 192)-net in base 64, using
- 1 times m-reduction [i] based on (106, 144, 576)-net in base 4, using
(107, 143, 1354)-Net over F4 — Digital
Digital (107, 143, 1354)-net over F4, using
(107, 143, 152756)-Net in Base 4 — Upper bound on s
There is no (107, 143, 152757)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 124 337951 479273 863600 250415 263201 421397 904530 484855 238880 291350 505949 320806 434802 310754 > 4143 [i]