Best Known (123−86, 123, s)-Nets in Base 8
(123−86, 123, 98)-Net over F8 — Constructive and digital
Digital (37, 123, 98)-net over F8, using
- net from sequence [i] based on digital (37, 97)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
(123−86, 123, 121)-Net over F8 — Digital
Digital (37, 123, 121)-net over F8, using
- net from sequence [i] based on digital (37, 120)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 121, using
(123−86, 123, 897)-Net in Base 8 — Upper bound on s
There is no (37, 123, 898)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 1259 529419 727781 253313 241603 962126 762171 687150 454742 527495 797157 057423 635505 298257 014948 786609 915963 371535 933248 > 8123 [i]