MinT - Information on Result #822573

Information on Result #822573

Linear OOA(4¹⁵, 21, F₄, 2, 7) (dual of [(21, 2), 27, 8]-NRT-code), using OOA 2-folding based on linear OA(4¹⁵, 42, F₄, 7) (dual of [42, 27, 8]-code), using

discarding factors / shortening the dual code based on linear OA(4¹⁵, 43, F₄, 7) (dual of [43, 28, 8]-code), using
- (u,Â u+v)-construction [i] based on
  1. 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 OA(4¹¹, 26, F₄, 7) (dual of [26, 15, 8]-code), using
    - 4 times truncation [i] based on linear OA(4¹⁵, 30, F₄, 11) (dual of [30, 15, 12]-code), using
      - extended quadratic residue code Q_e(30,4) [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.