Best Known (77−42, 77, s)-Nets in Base 25
(77−42, 77, 208)-Net over F25 — Constructive and digital
Digital (35, 77, 208)-net over F25, using
- net from sequence [i] based on digital (35, 207)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 35 and N(F) ≥ 208, using
(77−42, 77, 282)-Net over F25 — Digital
Digital (35, 77, 282)-net over F25, using
(77−42, 77, 48301)-Net in Base 25 — Upper bound on s
There is no (35, 77, 48302)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 437937 952817 058361 791527 621770 661228 585781 516481 657008 494913 613111 510075 524272 392025 260401 830773 635243 592465 > 2577 [i]