Best Known (91, 253, s)-Nets in Base 4
(91, 253, 104)-Net over F4 — Constructive and digital
Digital (91, 253, 104)-net over F4, using
- t-expansion [i] based on digital (73, 253, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(91, 253, 144)-Net over F4 — Digital
Digital (91, 253, 144)-net over F4, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 91 and N(F) ≥ 144, using
(91, 253, 719)-Net in Base 4 — Upper bound on s
There is no (91, 253, 720)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 231 263330 562088 836983 918430 769841 533344 797616 005524 067725 340310 934255 254676 740099 443323 381044 736676 817848 306791 137535 334137 430256 190776 404255 192333 717176 > 4253 [i]