Best Known (97, 97+31, s)-Nets in Base 4
(97, 97+31, 1032)-Net over F4 — Constructive and digital
Digital (97, 128, 1032)-net over F4, using
- trace code for nets [i] based on digital (1, 32, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
(97, 97+31, 1502)-Net over F4 — Digital
Digital (97, 128, 1502)-net over F4, using
(97, 97+31, 267958)-Net in Base 4 — Upper bound on s
There is no (97, 128, 267959)-net in base 4, because
- 1 times m-reduction [i] would yield (97, 127, 267959)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 28949 172798 923725 703743 261124 209021 986318 662502 104860 489263 499415 936541 645688 > 4127 [i]