MinT - Information on Result #1104998

Information on Result #1104998

Linear OOA(3¹⁴⁰, 31, F₃, 5, 77) (dual of [(31, 5), 15, 78]-NRT-code), using OOA 5-folding based on linear OA(3¹⁴⁰, 155, F₃, 77) (dual of [155, 15, 78]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁴⁰, 156, F₃, 77) (dual of [156, 16, 78]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(3⁶³, 78, F₃, 38) (dual of [78, 15, 39]-code), using
    - discarding factors / shortening the dual code based on linear OA(3⁶³, 79, F₃, 38) (dual of [79, 16, 39]-code), using
      - 3 times truncation [i] based on linear OA(3⁶⁶, 82, F₃, 41) (dual of [82, 16, 42]-code), using
        contraction [i] based on linear OA(3¹⁴⁸, 164, F₃, 83) (dual of [164, 16, 84]-code), using the BCH-code C(I) with length 164Â | 3⁸âˆ’1, defining interval IÂ =Â {0,1,…,82}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 84 [i]
  2. linear OA(3⁷⁷, 78, F₃, 77) (dual of [78, 1, 78]-code or 78-arc in PG(76,3)), using
    - dual of repetition code with length 78 [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.