Best Known (127, 235, s)-Nets in Base 4
(127, 235, 130)-Net over F4 — Constructive and digital
Digital (127, 235, 130)-net over F4, using
- t-expansion [i] based on digital (105, 235, 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
(127, 235, 216)-Net over F4 — Digital
Digital (127, 235, 216)-net over F4, using
(127, 235, 2869)-Net in Base 4 — Upper bound on s
There is no (127, 235, 2870)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3059 247197 171898 548421 778775 832457 890042 948582 720544 579872 165807 910425 532108 713826 253768 481360 033184 652769 174273 234082 921452 847472 967023 887096 > 4235 [i]