Best Known (202−89, 202, s)-Nets in Base 4
(202−89, 202, 130)-Net over F4 — Constructive and digital
Digital (113, 202, 130)-net over F4, using
- t-expansion [i] based on digital (105, 202, 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
(202−89, 202, 216)-Net over F4 — Digital
Digital (113, 202, 216)-net over F4, using
(202−89, 202, 3200)-Net in Base 4 — Upper bound on s
There is no (113, 202, 3201)-net in base 4, because
- 1 times m-reduction [i] would yield (113, 201, 3201)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 10 353571 610720 750275 528922 256685 262717 154772 372501 062273 421861 310314 148900 367061 477681 273740 045171 059877 228820 569282 855712 > 4201 [i]