Best Known (201−93, 201, s)-Nets in Base 4
(201−93, 201, 130)-Net over F4 — Constructive and digital
Digital (108, 201, 130)-net over F4, using
- t-expansion [i] based on digital (105, 201, 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
(201−93, 201, 184)-Net over F4 — Digital
Digital (108, 201, 184)-net over F4, using
(201−93, 201, 2449)-Net in Base 4 — Upper bound on s
There is no (108, 201, 2450)-net in base 4, because
- 1 times m-reduction [i] would yield (108, 200, 2450)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 2 588403 370262 011782 884799 982250 469285 030523 673005 092054 950640 901458 796874 546637 847959 404615 459286 920027 151321 544084 460320 > 4200 [i]