Best Known (69−62, 69, s)-Nets in Base 128
(69−62, 69, 216)-Net over F128 — Constructive and digital
Digital (7, 69, 216)-net over F128, using
- t-expansion [i] based on digital (5, 69, 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
(69−62, 69, 262)-Net over F128 — Digital
Digital (7, 69, 262)-net over F128, using
- net from sequence [i] based on digital (7, 261)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 7 and N(F) ≥ 262, using
(69−62, 69, 4776)-Net in Base 128 — Upper bound on s
There is no (7, 69, 4777)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 25 094285 213859 126310 519327 349189 230791 680455 408523 883353 587234 674767 772379 824321 972944 619921 705510 791167 489231 975206 905991 523267 651301 474577 413600 > 12869 [i]