Best Known (135−62, 135, s)-Nets in Base 4
(135−62, 135, 104)-Net over F4 — Constructive and digital
Digital (73, 135, 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
(135−62, 135, 134)-Net over F4 — Digital
Digital (73, 135, 134)-net over F4, using
(135−62, 135, 1707)-Net in Base 4 — Upper bound on s
There is no (73, 135, 1708)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 1905 394516 581820 727683 777659 621985 282246 662581 017104 555659 622306 353322 331539 950440 > 4135 [i]