Best Known (201−83, 201, s)-Nets in Base 4
(201−83, 201, 130)-Net over F4 — Constructive and digital
Digital (118, 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
(201−83, 201, 265)-Net over F4 — Digital
Digital (118, 201, 265)-net over F4, using
(201−83, 201, 4618)-Net in Base 4 — Upper bound on s
There is no (118, 201, 4619)-net in base 4, because
- 1 times m-reduction [i] would yield (118, 200, 4619)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 2 588010 598818 108645 234768 819058 062501 020032 507331 708647 570393 172202 043246 561914 830173 184214 476745 002255 869557 230160 951136 > 4200 [i]