Best Known (76−66, 76, s)-Nets in Base 25
(76−66, 76, 126)-Net over F25 — Constructive and digital
Digital (10, 76, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
(76−66, 76, 891)-Net in Base 25 — Upper bound on s
There is no (10, 76, 892)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 17604 613375 445724 030221 098017 802245 214289 575707 802626 209542 985960 254098 527289 474827 604723 119071 882860 011425 > 2576 [i]