Best Known (97−46, 97, s)-Nets in Base 4
(97−46, 97, 66)-Net over F4 — Constructive and digital
Digital (51, 97, 66)-net over F4, using
- t-expansion [i] based on digital (49, 97, 66)-net over F4, using
- net from sequence [i] based on digital (49, 65)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 49 and N(F) ≥ 66, using
- T6 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) = 49 and N(F) ≥ 66, using
- net from sequence [i] based on digital (49, 65)-sequence over F4, using
(97−46, 97, 93)-Net over F4 — Digital
Digital (51, 97, 93)-net over F4, using
(97−46, 97, 1069)-Net in Base 4 — Upper bound on s
There is no (51, 97, 1070)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 25630 344208 114777 100195 331120 457309 649514 114683 024696 197384 > 497 [i]