MinT - Best Known (5, 8, s)-Nets in Base 16

Best Known (5, 8, s)-Nets in Base 16

Digital (5, 8, 161652)-net over F₁₆, using

net defined by OOA [i] based on linear OOA(16⁸, 161652, F₁₆, 3, 3) (dual of [(161652, 3), 484948, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(16⁸, 161652, F₁₆, 2, 3) (dual of [(161652, 2), 323296, 4]-NRT-code), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(16⁸, 161652, F₁₆, 3) (dual of [161652, 161644, 4]-code or 161652-cap in PG(7,16)), using
    - product of two caps with tangent hyperplane [i]

There is no (5, 8, large)-net in base 16, because