Best Known (62−51, 62, s)-Nets in Base 32
(62−51, 62, 120)-Net over F32 — Constructive and digital
Digital (11, 62, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
(62−51, 62, 1531)-Net in Base 32 — Upper bound on s
There is no (11, 62, 1532)-net in base 32, because
- 1 times m-reduction [i] would yield (11, 61, 1532)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 65 325843 395656 989821 540057 607918 498708 155225 256088 655292 138268 989809 548351 018937 511606 296103 > 3261 [i]