Best Known (120, 232, s)-Nets in Base 4
(120, 232, 130)-Net over F4 — Constructive and digital
Digital (120, 232, 130)-net over F4, using
- t-expansion [i] based on digital (105, 232, 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
(120, 232, 183)-Net over F4 — Digital
Digital (120, 232, 183)-net over F4, using
(120, 232, 2212)-Net in Base 4 — Upper bound on s
There is no (120, 232, 2213)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 48 326170 522978 472101 568770 714137 395039 882237 979760 023132 036416 808109 161054 299718 335597 683830 502876 674040 964556 136840 357572 967865 017730 232400 > 4232 [i]