MinT - Best Known (2, 6, s)-Nets in Base 32

Best Known (2, 6, s)-Nets in Base 32

(2, 6, 496)-Net over F₃₂ — Constructive and digital

Digital (2, 6, 496)-net over F₃₂, using

net defined by OOA [i] based on linear OOA(32⁶, 496, F₃₂, 4, 4) (dual of [(496, 4), 1978, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(32⁶, 992, F₃₂, 4) (dual of [992, 986, 5]-code), using
  - 1 times truncation [i] based on linear OA(32⁷, 993, F₃₂, 5) (dual of [993, 986, 6]-code), using
    - a code by Danev and Olsson [i]

(2, 6, 1494)-Net in Base 32 — Upper bound on s

There is no (2, 6, 1495)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 1074 740551 > 32⁶ [i]