Best Known (124−38, 124, s)-Nets in Base 4
(124−38, 124, 312)-Net over F4 — Constructive and digital
Digital (86, 124, 312)-net over F4, using
- 41 times duplication [i] based on digital (85, 123, 312)-net over F4, using
- trace code for nets [i] based on digital (3, 41, 104)-net over F64, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- trace code for nets [i] based on digital (3, 41, 104)-net over F64, using
(124−38, 124, 518)-Net over F4 — Digital
Digital (86, 124, 518)-net over F4, using
(124−38, 124, 22440)-Net in Base 4 — Upper bound on s
There is no (86, 124, 22441)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 452 528365 894215 287975 145235 660562 645114 917180 221924 246334 143981 916897 568272 > 4124 [i]