MinT - Information on Result #1185818

Information on Result #1185818

Digital (8, 15, 36)-net over F₄, using net defined by OOA based on linear OOA(4¹⁵, 36, F₄, 9, 7) (dual of [(36, 9), 309, 8]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(4¹⁵, 37, F₄, 3, 7) (dual of [(37, 3), 96, 8]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(4⁴, 17, F₄, 3, 3) (dual of [(17, 3), 47, 4]-NRT-code), using
    - appending kth column [i] based on linear OOA(4⁴, 17, F₄, 2, 3) (dual of [(17, 2), 30, 4]-NRT-code), using
      - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4⁴, 17, F₄, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
        ovoid in PG(3,Â 4) [i]
  2. linear OOA(4¹¹, 20, F₄, 3, 7) (dual of [(20, 3), 49, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 11, 20)-net over F₄, using
      - linear code embedding found in a computer search [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.