Best Known (235−106, 235, s)-Nets in Base 4
(235−106, 235, 130)-Net over F4 — Constructive and digital
Digital (129, 235, 130)-net over F4, using
- t-expansion [i] based on digital (105, 235, 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
(235−106, 235, 229)-Net over F4 — Digital
Digital (129, 235, 229)-net over F4, using
(235−106, 235, 3164)-Net in Base 4 — Upper bound on s
There is no (129, 235, 3165)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3090 915500 402152 969003 837250 142451 640988 048547 749472 160819 163414 313363 077564 648264 100476 157467 222082 299403 559733 638732 820704 368364 873823 972280 > 4235 [i]