Best Known (111, 153, s)-Nets in Base 8
(111, 153, 1026)-Net over F8 — Constructive and digital
Digital (111, 153, 1026)-net over F8, using
- 13 times m-reduction [i] based on digital (111, 166, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 83, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- trace code for nets [i] based on digital (28, 83, 513)-net over F64, using
(111, 153, 5426)-Net over F8 — Digital
Digital (111, 153, 5426)-net over F8, using
(111, 153, 4710304)-Net in Base 8 — Upper bound on s
There is no (111, 153, 4710305)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 1 488571 552964 091759 614237 647210 491189 282266 585823 634159 669111 750168 020652 677779 028713 487604 562318 829401 405041 813879 009931 512135 200575 922656 > 8153 [i]