Best Known (10, 71, s)-Nets in Base 128
(10, 71, 288)-Net over F128 — Constructive and digital
Digital (10, 71, 288)-net over F128, using
- t-expansion [i] based on digital (9, 71, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
(10, 71, 296)-Net over F128 — Digital
Digital (10, 71, 296)-net over F128, using
- net from sequence [i] based on digital (10, 295)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 10 and N(F) ≥ 296, using
(10, 71, 7816)-Net in Base 128 — Upper bound on s
There is no (10, 71, 7817)-net in base 128, because
- 1 times m-reduction [i] would yield (10, 70, 7817)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 3207 631085 148385 633152 402172 940710 786262 518899 449618 916890 118517 491482 504925 826758 909491 917963 535157 889361 708630 387865 593875 545571 397864 231506 306368 > 12870 [i]