MinT - Best Known (18, 18+4, s)-Nets in Base 4

Best Known (18, 18+4, s)-Nets in Base 4

(18, 18+4, 699051)-Net over F₄ — Constructive and digital

Digital (18, 22, 699051)-net over F₄, using

nets constructed from net-embeddable BCH codes [i]

(18, 18+4, 1398101)-Net over F₄ — Digital

Digital (18, 22, 1398101)-net over F₄, using

existence of nets from net-embeddable BCH codes [i]

(18, 18+4, 1977212)-Net in Base 4 — Upper bound on s

There is no (18, 22, 1977213)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 17 592191 373898 > 4²² [i]