Best Known (230−136, 230, s)-Nets in Base 4
(230−136, 230, 104)-Net over F4 — Constructive and digital
Digital (94, 230, 104)-net over F4, using
- t-expansion [i] based on digital (73, 230, 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
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(230−136, 230, 144)-Net over F4 — Digital
Digital (94, 230, 144)-net over F4, using
- t-expansion [i] based on digital (91, 230, 144)-net over F4, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 91 and N(F) ≥ 144, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
(230−136, 230, 893)-Net in Base 4 — Upper bound on s
There is no (94, 230, 894)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 176074 584284 579112 088169 524099 675465 345721 865710 837686 737638 682839 923193 864436 026398 271877 643368 359609 680361 110235 828576 361441 265915 104289 > 4230 [i]