MinT - Information on Result #1060104

Information on Result #1060104

Linear OOA(3²⁰³, 2495731, F₃, 4, 15) (dual of [(2495731, 4), 9982721, 16]-NRT-code), using OOA 2-folding based on linear OOA(3²⁰³, 4991462, F₃, 2, 15) (dual of [(4991462, 2), 9982721, 16]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²⁰³, 4991463, F₃, 2, 15) (dual of [(4991463, 2), 9982723, 16]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁵³, 797162, F₃, 2, 7) (dual of [(797162, 2), 1594271, 8]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3⁵³, 1594324, F₃, 7) (dual of [1594324, 1594271, 8]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 1594324Â | 3²⁶âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (BCH-bound) [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.