MinT - Information on Result #1060090

Information on Result #1060090

Linear OOA(3¹⁷⁸, 2097423, F₃, 4, 15) (dual of [(2097423, 4), 8389514, 16]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁷⁸, 4194846, F₃, 2, 15) (dual of [(4194846, 2), 8389514, 16]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁷⁸, 4194847, F₃, 2, 15) (dual of [(4194847, 2), 8389516, 16]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3²⁸, 546, F₃, 2, 7) (dual of [(546, 2), 1064, 8]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3²⁸, 1092, F₃, 7) (dual of [1092, 1064, 8]-code), using
      - discarding factors / shortening the dual code based on linear OA(3²⁸, 1093, F₃, 7) (dual of [1093, 1065, 8]-code), using
        the BCH-code C(I) with length 1093Â | 3⁷âˆ’1, defining interval IÂ =Â {−3,−1,1,…,9}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [i]
  2. linear OOA(3¹⁵⁰, 4194301, F₃, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹⁵⁰, 8388602, F₃, 15) (dual of [8388602, 8388452, 16]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁵⁰, large, F₃, 15) (dual of [large, large−150, 16]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.