Best Known (113, 203, s)-Nets in Base 4
(113, 203, 130)-Net over F4 — Constructive and digital
Digital (113, 203, 130)-net over F4, using
- t-expansion [i] based on digital (105, 203, 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, 203, 213)-Net over F4 — Digital
Digital (113, 203, 213)-net over F4, using
(113, 203, 3018)-Net in Base 4 — Upper bound on s
There is no (113, 203, 3019)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 167 284283 869149 977859 382367 569330 524457 479844 637391 563674 992162 342329 784770 953299 224318 644933 638603 455715 840348 052603 203616 > 4203 [i]