Best Known (112, 220, s)-Nets in Base 4
(112, 220, 130)-Net over F4 — Constructive and digital
Digital (112, 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
(112, 220, 166)-Net over F4 — Digital
Digital (112, 220, 166)-net over F4, using
(112, 220, 1938)-Net in Base 4 — Upper bound on s
There is no (112, 220, 1939)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 871484 188720 914523 412112 988792 550392 661070 473010 984694 549325 918149 468731 136160 076715 526813 598210 603343 863712 309012 078684 535922 136352 > 4220 [i]