MinT - Information on Result #961012

Information on Result #961012

Linear OOA(4¹⁵, 26, F₄, 3, 6) (dual of [(26, 3), 63, 7]-NRT-code), using OOA 2-folding based on linear OOA(4¹⁵, 52, F₄, 2, 6) (dual of [(52, 2), 89, 7]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(4⁵, 41, F₄, 2, 3) (dual of [(41, 2), 77, 4]-NRT-code), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4⁵, 41, F₄, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
    - a cap found by Tallinii [i]
2. linear OOA(4¹⁰, 26, F₄, 2, 6) (dual of [(26, 2), 42, 7]-NRT-code), using
  - extracting embedded OOA [i] based on digital (4, 10, 26)-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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.