Best Known (113, 153, s)-Nets in Base 4
(113, 153, 531)-Net over F4 — Constructive and digital
Digital (113, 153, 531)-net over F4, using
- 6 times m-reduction [i] based on digital (113, 159, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 53, 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, 53, 177)-net over F64, using
(113, 153, 576)-Net in Base 4 — Constructive
(113, 153, 576)-net in base 4, using
- trace code for nets [i] based on (11, 51, 192)-net in base 64, using
- 5 times m-reduction [i] based on (11, 56, 192)-net in base 64, using
- base change [i] based on digital (3, 48, 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, 48, 192)-net over F128, using
- 5 times m-reduction [i] based on (11, 56, 192)-net in base 64, using
(113, 153, 1200)-Net over F4 — Digital
Digital (113, 153, 1200)-net over F4, using
(113, 153, 111655)-Net in Base 4 — Upper bound on s
There is no (113, 153, 111656)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 130 376481 185049 356911 480194 490842 291881 726293 350171 784276 807581 846518 791478 990184 789278 916634 > 4153 [i]