Best Known (63−48, 63, s)-Nets in Base 128
(63−48, 63, 288)-Net over F128 — Constructive and digital
Digital (15, 63, 288)-net over F128, using
- t-expansion [i] based on digital (9, 63, 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
(63−48, 63, 386)-Net over F128 — Digital
Digital (15, 63, 386)-net over F128, using
- net from sequence [i] based on digital (15, 385)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
(63−48, 63, 26229)-Net in Base 128 — Upper bound on s
There is no (15, 63, 26230)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 5 680493 254330 553419 894484 151746 994797 778705 934766 727601 293225 846868 341821 486704 663249 339694 376705 530802 897104 269194 011965 018730 993596 > 12863 [i]