Best Known (121, 211, s)-Nets in Base 4
(121, 211, 130)-Net over F4 — Constructive and digital
Digital (121, 211, 130)-net over F4, using
- t-expansion [i] based on digital (105, 211, 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
(121, 211, 249)-Net over F4 — Digital
Digital (121, 211, 249)-net over F4, using
(121, 211, 3871)-Net in Base 4 — Upper bound on s
There is no (121, 211, 3872)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 10 837585 342176 839793 964555 442698 938055 683685 313334 695168 822476 777754 954349 967692 534115 824799 884712 992319 521910 194728 432364 646936 > 4211 [i]