Best Known (220−92, 220, s)-Nets in Base 4
(220−92, 220, 130)-Net over F4 — Constructive and digital
Digital (128, 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
(220−92, 220, 276)-Net over F4 — Digital
Digital (128, 220, 276)-net over F4, using
(220−92, 220, 4507)-Net in Base 4 — Upper bound on s
There is no (128, 220, 4508)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 862212 560426 580677 651772 331146 565296 992768 493866 149655 669552 833625 997781 936820 585086 476905 904292 102373 641714 484897 844683 967407 221040 > 4220 [i]