Best Known (6, 6+52, s)-Nets in Base 128
(6, 6+52, 216)-Net over F128 — Constructive and digital
Digital (6, 58, 216)-net over F128, using
- t-expansion [i] based on digital (5, 58, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
(6, 6+52, 243)-Net over F128 — Digital
Digital (6, 58, 243)-net over F128, using
- net from sequence [i] based on digital (6, 242)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 6 and N(F) ≥ 243, using
(6, 6+52, 4157)-Net in Base 128 — Upper bound on s
There is no (6, 58, 4158)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 165 463929 079322 313561 980056 299769 158075 673921 994692 410640 647176 611110 283275 559579 133195 751041 805947 516122 661289 001966 954450 > 12858 [i]