MinT - Information on Result #3261006

Information on Result #3261006

Digital (14, 17, large)-net over F₈, using 8⁴ times duplication based on digital (10, 13, large)-net over F₈, using

net defined by OOA [i] based on linear OOA(8¹³, large, F₈, 3, 3), using
- appending kth column [i] based on linear OOA(8¹³, large, F₈, 2, 3), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(8¹³, large, F₈, 3) (dual of [large, large−13, 4]-code), using
    - product of projective cap with (hyper)oval [i] based on linear OA(8¹¹, 878592, F₈, 3) (dual of [878592, 878581, 4]-code or 878592-cap in PG(10,8)), using
      - product of projective cap with cap in AG(4,Â 8) [i] based on linear OA(8⁷, 4224, F₈, 3) (dual of [4224, 4217, 4]-code or 4224-cap in PG(6,8)), 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.