Best Known (13, 102, s)-Nets in Base 25
(13, 102, 126)-Net over F25 — Constructive and digital
Digital (13, 102, 126)-net over F25, using
- t-expansion [i] based on digital (10, 102, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
(13, 102, 1139)-Net in Base 25 — Upper bound on s
There is no (13, 102, 1140)-net in base 25, because
- 1 times m-reduction [i] would yield (13, 101, 1140)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 1563 032124 446204 599084 989677 416091 010325 927850 033787 479138 794351 893744 817269 160176 338920 417089 019762 132795 436316 793458 937589 522682 381669 527425 > 25101 [i]