MinT - Information on Result #856051

Information on Result #856051

Linear OOA(16¹¹, 361, F₁₆, 2, 5) (dual of [(361, 2), 711, 6]-NRT-code), using OOA 2-folding based on linear OA(16¹¹, 722, F₁₆, 5) (dual of [722, 711, 6]-code), using

discarding factors / shortening the dual code based on linear OA(16¹¹, 723, F₁₆, 5) (dual of [723, 712, 6]-code), using
- (u,Â uâˆ’v,Â u+v+w)-construction [i] based on
  1. linear OA(16¹, 241, F₁₆, 1) (dual of [241, 240, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹, s, F₁₆, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]
  2. linear OA(16³, 241, F₁₆, 2) (dual of [241, 238, 3]-code), using
    - discarding factors / shortening the dual code based on linear OA(16³, 255, F₁₆, 2) (dual of [255, 252, 3]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 255Â = 16²âˆ’1, defining interval IÂ =Â [0,1], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 3 [i]
  3. linear OA(16⁷, 241, F₁₆, 5) (dual of [241, 234, 6]-code), using
    - a code by Danev and Olsson [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.