Best Known (130, 130+112, s)-Nets in Base 4
(130, 130+112, 130)-Net over F4 — Constructive and digital
Digital (130, 242, 130)-net over F4, using
- t-expansion [i] based on digital (105, 242, 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
(130, 130+112, 217)-Net over F4 — Digital
Digital (130, 242, 217)-net over F4, using
(130, 130+112, 2846)-Net in Base 4 — Upper bound on s
There is no (130, 242, 2847)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 50 290579 881215 700327 190870 649507 268738 223662 122042 402391 893548 797042 048087 945631 015873 606968 808043 986533 817337 408531 086564 439508 180429 618098 303560 > 4242 [i]