Best Known (121, 121+110, s)-Nets in Base 4
(121, 121+110, 130)-Net over F4 — Constructive and digital
Digital (121, 231, 130)-net over F4, using
- t-expansion [i] based on digital (105, 231, 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
(121, 121+110, 190)-Net over F4 — Digital
Digital (121, 231, 190)-net over F4, using
(121, 121+110, 2357)-Net in Base 4 — Upper bound on s
There is no (121, 231, 2358)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 12 009933 712662 919832 058708 112088 144649 998023 454773 639002 830220 378569 644406 111342 652070 587269 571853 911672 778564 701680 648802 285324 026592 772912 > 4231 [i]