Best Known (112, 112+96, s)-Nets in Base 4
(112, 112+96, 130)-Net over F4 — Constructive and digital
Digital (112, 208, 130)-net over F4, using
- t-expansion [i] based on digital (105, 208, 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
(112, 112+96, 191)-Net over F4 — Digital
Digital (112, 208, 191)-net over F4, using
(112, 112+96, 2499)-Net in Base 4 — Upper bound on s
There is no (112, 208, 2500)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 171360 596337 539183 678213 755798 298394 403800 102143 770554 830476 197458 347795 554846 330358 715117 689933 732620 178221 771045 508623 066676 > 4208 [i]