MinT - Information on Result #830279

Information on Result #830279

Linear OOA(4⁹⁵, 49, F₄, 2, 72) (dual of [(49, 2), 3, 73]-NRT-code), using OOA 2-folding based on linear OA(4⁹⁵, 98, F₄, 72) (dual of [98, 3, 73]-code), using

discarding factors / shortening the dual code based on linear OA(4⁹⁵, 99, F₄, 72) (dual of [99, 4, 73]-code), using
- juxtaposition [i] based on
  1. linear OA(4¹⁰, 14, F₄, 8) (dual of [14, 4, 9]-code), using
    - 3 times truncation [i] based on linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
      - projective code from ovoid in PG(3,Â 4) [i]
  2. linear OA(4⁸¹, 85, F₄, 63) (dual of [85, 4, 64]-code), using
    - Simplex code S(4,4) [i]
    - the expurgated narrow-sense BCH-code C(I) with length 85Â | 4⁴âˆ’1, defining interval IÂ =Â [0,56], and minimum distance dÂ â‰¥ |{−6,−5,…,56}|+1Â =Â 64 (BCH-bound) [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.