Best Known (93, 143, s)-Nets in Base 2
(93, 143, 68)-Net over F2 — Constructive and digital
Digital (93, 143, 68)-net over F2, using
- 1 times m-reduction [i] based on digital (93, 144, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 72, 34)-net over F4, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 21 and N(F) ≥ 34, using
- T5 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 21 and N(F) ≥ 34, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
- trace code for nets [i] based on digital (21, 72, 34)-net over F4, using
(93, 143, 95)-Net over F2 — Digital
Digital (93, 143, 95)-net over F2, using
(93, 143, 500)-Net in Base 2 — Upper bound on s
There is no (93, 143, 501)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 11 383128 731633 123142 562931 231420 418795 174952 > 2143 [i]