Best Known (76−62, 76, s)-Nets in Base 128
(76−62, 76, 288)-Net over F128 — Constructive and digital
Digital (14, 76, 288)-net over F128, using
- t-expansion [i] based on digital (9, 76, 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
(76−62, 76, 353)-Net over F128 — Digital
Digital (14, 76, 353)-net over F128, using
- net from sequence [i] based on digital (14, 352)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 14 and N(F) ≥ 353, using
(76−62, 76, 14316)-Net in Base 128 — Upper bound on s
There is no (14, 76, 14317)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 14080 912386 045666 307531 145608 906749 066587 049313 757123 151254 442744 483654 908919 280572 942331 347300 444573 668634 875590 758747 553998 838658 732083 761689 718610 101436 933280 > 12876 [i]