Best Known (14, 14+58, s)-Nets in Base 128
(14, 14+58, 288)-Net over F128 — Constructive and digital
Digital (14, 72, 288)-net over F128, using
- t-expansion [i] based on digital (9, 72, 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
(14, 14+58, 353)-Net over F128 — Digital
Digital (14, 72, 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
(14, 14+58, 15653)-Net in Base 128 — Upper bound on s
There is no (14, 72, 15654)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 52 401534 209251 603283 394737 265828 482380 208724 365244 148457 626768 218596 584755 024447 495696 803086 681860 657694 133664 161632 418110 051345 539154 091585 633636 540300 > 12872 [i]