Best Known (98, 98+158, s)-Nets in Base 4
(98, 98+158, 104)-Net over F4 — Constructive and digital
Digital (98, 256, 104)-net over F4, using
- t-expansion [i] based on digital (73, 256, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the 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) = 73 and N(F) ≥ 104, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(98, 98+158, 144)-Net over F4 — Digital
Digital (98, 256, 144)-net over F4, using
- t-expansion [i] based on digital (91, 256, 144)-net over F4, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 91 and N(F) ≥ 144, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
(98, 98+158, 836)-Net in Base 4 — Upper bound on s
There is no (98, 256, 837)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 14081 453970 179399 289298 440039 091405 162551 325384 508134 838194 336334 641829 356968 250553 699451 705192 750161 604856 058420 912186 682481 446556 196658 510169 743233 267968 > 4256 [i]