Best Known (224−102, 224, s)-Nets in Base 4
(224−102, 224, 130)-Net over F4 — Constructive and digital
Digital (122, 224, 130)-net over F4, using
- t-expansion [i] based on digital (105, 224, 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
(224−102, 224, 213)-Net over F4 — Digital
Digital (122, 224, 213)-net over F4, using
(224−102, 224, 2876)-Net in Base 4 — Upper bound on s
There is no (122, 224, 2877)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 737 456629 532432 748632 303219 257074 083065 250363 777213 497877 403777 313276 384618 956367 925407 447152 524819 948855 605776 477613 954177 709773 530292 > 4224 [i]