MinT - Information on Result #3260529

Information on Result #3260529

Digital (19, 22, large)-net over F₇, using 7⁸ times duplication based on digital (11, 14, large)-net over F₇, using

net defined by OOA [i] based on linear OOA(7¹⁴, large, F₇, 3, 3), using
- appending kth column [i] based on linear OOA(7¹⁴, large, F₇, 2, 3), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7¹⁴, large, F₇, 3) (dual of [large, large−14, 4]-code), using
    - doubling the cap [i] based on linear OA(7¹³, 6120101, F₇, 3) (dual of [6120101, 6120088, 4]-code or 6120101-cap in PG(12,7)), using
      - product of projective cap with cap in AG(6,Â 7) [i] based on linear OA(7⁷, 2499, F₇, 3) (dual of [2499, 2492, 4]-code or 2499-cap in PG(6,7)), 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.