Best Known (139−66, 139, s)-Nets in Base 4
(139−66, 139, 104)-Net over F4 — Constructive and digital
Digital (73, 139, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 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) = 73 and N(F) ≥ 104, using
(139−66, 139, 124)-Net over F4 — Digital
Digital (73, 139, 124)-net over F4, using
(139−66, 139, 1480)-Net in Base 4 — Upper bound on s
There is no (73, 139, 1481)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 491826 190594 409137 936537 553459 359831 777098 306371 449516 088658 708415 819410 009007 653688 > 4139 [i]