Best Known (113, 113+92, s)-Nets in Base 4
(113, 113+92, 130)-Net over F4 — Constructive and digital
Digital (113, 205, 130)-net over F4, using
- t-expansion [i] based on digital (105, 205, 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
(113, 113+92, 206)-Net over F4 — Digital
Digital (113, 205, 206)-net over F4, using
(113, 113+92, 2854)-Net in Base 4 — Upper bound on s
There is no (113, 205, 2855)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2670 456824 501156 295117 472296 428769 193878 203044 268749 817264 008986 570233 804789 174357 284411 539532 007297 880937 753301 353124 489056 > 4205 [i]