Best Known (98−67, 98, s)-Nets in Base 32
(98−67, 98, 120)-Net over F32 — Constructive and digital
Digital (31, 98, 120)-net over F32, using
- t-expansion [i] based on digital (11, 98, 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
(98−67, 98, 192)-Net in Base 32 — Constructive
(31, 98, 192)-net in base 32, using
- base change [i] based on digital (3, 70, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
(98−67, 98, 273)-Net over F32 — Digital
Digital (31, 98, 273)-net over F32, using
- t-expansion [i] based on digital (30, 98, 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
- net from sequence [i] based on digital (30, 272)-sequence over F32, using
(98−67, 98, 11260)-Net in Base 32 — Upper bound on s
There is no (31, 98, 11261)-net in base 32, because
- 1 times m-reduction [i] would yield (31, 97, 11261)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 99 996335 647271 122606 801522 549687 773796 437406 385371 249479 541498 414111 622550 428340 315908 577363 026462 583974 483155 893408 871379 592421 510875 244660 814084 > 3297 [i]