Best Known (76−52, 76, s)-Nets in Base 81
(76−52, 76, 370)-Net over F81 — Constructive and digital
Digital (24, 76, 370)-net over F81, using
- t-expansion [i] based on digital (16, 76, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(76−52, 76, 49973)-Net in Base 81 — Upper bound on s
There is no (24, 76, 49974)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 11 090850 685039 085743 816245 991657 966468 818276 561334 542717 686557 743016 468022 926742 637595 191225 057499 971265 353500 777242 270280 175432 062165 722539 945921 > 8176 [i]