Best Known (132, 132+112, s)-Nets in Base 4
(132, 132+112, 130)-Net over F4 — Constructive and digital
Digital (132, 244, 130)-net over F4, using
- t-expansion [i] based on digital (105, 244, 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
(132, 132+112, 224)-Net over F4 — Digital
Digital (132, 244, 224)-net over F4, using
(132, 132+112, 2993)-Net in Base 4 — Upper bound on s
There is no (132, 244, 2994)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 807 324333 379712 110096 921925 527278 538826 746670 986436 533229 896797 042936 073513 358809 311018 446204 089826 742505 063230 772985 579733 814994 517818 689177 696624 > 4244 [i]