Best Known (201−138, 201, s)-Nets in Base 4
(201−138, 201, 66)-Net over F4 — Constructive and digital
Digital (63, 201, 66)-net over F4, using
- t-expansion [i] based on digital (49, 201, 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
(201−138, 201, 99)-Net over F4 — Digital
Digital (63, 201, 99)-net over F4, using
- t-expansion [i] based on digital (61, 201, 99)-net over F4, using
- net from sequence [i] based on digital (61, 98)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 61 and N(F) ≥ 99, using
- net from sequence [i] based on digital (61, 98)-sequence over F4, using
(201−138, 201, 446)-Net in Base 4 — Upper bound on s
There is no (63, 201, 447)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 10 390506 508613 987891 652269 551521 118910 848991 525363 057082 352288 554632 027247 806073 509261 753984 536899 542746 458977 308705 947772 > 4201 [i]