Best Known (61−38, 61, s)-Nets in Base 81
(61−38, 61, 370)-Net over F81 — Constructive and digital
Digital (23, 61, 370)-net over F81, using
- t-expansion [i] based on digital (16, 61, 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
(61−38, 61, 132842)-Net in Base 81 — Upper bound on s
There is no (23, 61, 132843)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 261 591551 990133 623926 908808 701567 654618 209481 511050 249755 148903 924210 447817 794278 960218 993083 165226 540020 838623 463761 > 8161 [i]