Best Known (156, 246, s)-Nets in Base 2
(156, 246, 112)-Net over F2 — Constructive and digital
Digital (156, 246, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 123, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the 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) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
(156, 246, 135)-Net over F2 — Digital
Digital (156, 246, 135)-net over F2, using
(156, 246, 714)-Net in Base 2 — Upper bound on s
There is no (156, 246, 715)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 113 090377 727375 500362 077499 985642 248821 950814 473170 639215 355090 636328 924640 > 2246 [i]