MinT - Information on Result #3262379

Information on Result #3262379

Digital (13, 16, large)-net over F₉, using 9³ times duplication based on digital (10, 13, large)-net over F₉, using

net defined by OOA [i] based on linear OOA(9¹³, large, F₉, 3, 3), using
- appending kth column [i] based on linear OOA(9¹³, large, F₉, 2, 3), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(9¹³, large, F₉, 3) (dual of [large, large−13, 4]-code), using
    - doubling the cap [i] based on linear OA(9¹², 5580100, F₉, 3) (dual of [5580100, 5580088, 4]-code or 5580100-cap in PG(11,9)), using
      - product of projective cap with cap in AG(5,Â 9) [i] based on linear OA(9⁷, 6723, F₉, 3) (dual of [6723, 6716, 4]-code or 6723-cap in PG(6,9)), using
        product of two caps with tangent hyperplane [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.