Best Known (97, 249, s)-Nets in Base 4
(97, 249, 104)-Net over F4 — Constructive and digital
Digital (97, 249, 104)-net over F4, using
- t-expansion [i] based on digital (73, 249, 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
(97, 249, 144)-Net over F4 — Digital
Digital (97, 249, 144)-net over F4, using
- t-expansion [i] based on digital (91, 249, 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
(97, 249, 849)-Net in Base 4 — Upper bound on s
There is no (97, 249, 850)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 827579 775192 201367 382951 873158 200212 184430 680320 731090 591691 864426 643092 510431 707574 615681 115461 101278 114879 690849 458095 860562 765872 627480 460824 403532 > 4249 [i]