Best Known (235−104, 235, s)-Nets in Base 4
(235−104, 235, 130)-Net over F4 — Constructive and digital
Digital (131, 235, 130)-net over F4, using
- t-expansion [i] based on digital (105, 235, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 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) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(235−104, 235, 243)-Net over F4 — Digital
Digital (131, 235, 243)-net over F4, using
(235−104, 235, 3502)-Net in Base 4 — Upper bound on s
There is no (131, 235, 3503)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3074 373693 677059 304829 506249 015501 393465 181344 020997 897554 471454 906677 870101 759645 591606 173281 624110 665665 590352 832344 731627 480104 403753 152488 > 4235 [i]