Best Known (30, 82, s)-Nets in Base 32
(30, 82, 120)-Net over F32 — Constructive and digital
Digital (30, 82, 120)-net over F32, using
- t-expansion [i] based on digital (11, 82, 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
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
(30, 82, 216)-Net in Base 32 — Constructive
(30, 82, 216)-net in base 32, using
- t-expansion [i] based on (29, 82, 216)-net in base 32, using
- 2 times m-reduction [i] based on (29, 84, 216)-net in base 32, using
- base change [i] based on digital (5, 60, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- base change [i] based on digital (5, 60, 216)-net over F128, using
- 2 times m-reduction [i] based on (29, 84, 216)-net in base 32, using
(30, 82, 273)-Net over F32 — Digital
Digital (30, 82, 273)-net over F32, using
- net from sequence [i] based on digital (30, 272)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 30 and N(F) ≥ 273, using
(30, 82, 18994)-Net in Base 32 — Upper bound on s
There is no (30, 82, 18995)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2644 429599 190486 467119 971121 585562 080554 396450 690754 583601 126440 944629 771639 940944 395700 318927 129096 256807 840754 346736 632076 > 3282 [i]