Best Known (114, 220, s)-Nets in Base 4
(114, 220, 130)-Net over F4 — Constructive and digital
Digital (114, 220, 130)-net over F4, using
- t-expansion [i] based on digital (105, 220, 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
(114, 220, 176)-Net over F4 — Digital
Digital (114, 220, 176)-net over F4, using
(114, 220, 2123)-Net in Base 4 — Upper bound on s
There is no (114, 220, 2124)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 887813 081471 332275 486526 662856 574268 827956 374573 486935 866898 823171 068046 068310 629772 573114 556983 824448 344348 449708 100032 472329 663352 > 4220 [i]