MinT - Best Known (7, 7+3, s)-Nets in Base 9

Best Known (7, 7+3, s)-Nets in Base 9

Digital (7, 10, 544644)-net over F₉, using

net defined by OOA [i] based on linear OOA(9¹⁰, 544644, F₉, 3, 3) (dual of [(544644, 3), 1633922, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(9¹⁰, 544644, F₉, 2, 3) (dual of [(544644, 2), 1089278, 4]-NRT-code), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(9¹⁰, 544644, F₉, 3) (dual of [544644, 544634, 4]-code or 544644-cap in PG(9,9)), using
    - product of projective cap with cap in AG(6,Â 9) [i] based on linear OA(9⁴, 82, F₉, 3) (dual of [82, 78, 4]-code or 82-cap in PG(3,9)), using
      - ovoid in PG(3,Â 9) [i]

There is no (7, 10, large)-net in base 9, because