Best Known (239−108, 239, s)-Nets in Base 4
(239−108, 239, 130)-Net over F4 — Constructive and digital
Digital (131, 239, 130)-net over F4, using
- t-expansion [i] based on digital (105, 239, 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
(239−108, 239, 231)-Net over F4 — Digital
Digital (131, 239, 231)-net over F4, using
(239−108, 239, 3184)-Net in Base 4 — Upper bound on s
There is no (131, 239, 3185)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 781348 123960 866587 040922 982035 558428 487478 870765 104035 756418 272989 560264 223045 291976 429890 266578 262696 716124 324658 561080 905623 056947 525155 410528 > 4239 [i]