Best Known (236−116, 236, s)-Nets in Base 4
(236−116, 236, 130)-Net over F4 — Constructive and digital
Digital (120, 236, 130)-net over F4, using
- t-expansion [i] based on digital (105, 236, 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
(236−116, 236, 176)-Net over F4 — Digital
Digital (120, 236, 176)-net over F4, using
(236−116, 236, 2060)-Net in Base 4 — Upper bound on s
There is no (120, 236, 2061)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 12342 863334 559554 477547 621758 265587 122592 619819 336037 872258 372503 429297 537297 738896 926095 959022 081980 816246 324137 070549 405429 917814 946457 665280 > 4236 [i]