Best Known (205−96, 205, s)-Nets in Base 4
(205−96, 205, 130)-Net over F4 — Constructive and digital
Digital (109, 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
(205−96, 205, 181)-Net over F4 — Digital
Digital (109, 205, 181)-net over F4, using
(205−96, 205, 2288)-Net in Base 4 — Upper bound on s
There is no (109, 205, 2289)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2662 533312 289021 376388 345533 509198 737944 160068 395949 793350 313625 923422 901798 448286 219243 989536 443203 099410 361951 319787 796399 > 4205 [i]