MinT - Information on Result #1094880

Information on Result #1094880

Linear OOA(3¹¹⁹, 4194300, F₃, 5, 9) (dual of [(4194300, 5), 20971381, 10]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(3¹¹⁹, 8388601, F₃, 2, 9) (dual of [(8388601, 2), 16777083, 10]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹¹⁹, 8388602, F₃, 2, 9) (dual of [(8388602, 2), 16777085, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3²⁹, 4782968, F₃, 2, 4) (dual of [(4782968, 2), 9565907, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (25, 29, 4782968)-net over F₃, using
      - nets constructed from net-embeddable BCH codes [i]
  2. linear OOA(3⁹⁰, 4194301, F₃, 2, 9) (dual of [(4194301, 2), 8388512, 10]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3⁹⁰, 8388602, F₃, 9) (dual of [8388602, 8388512, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁹⁰, large, F₃, 9) (dual of [large, large−90, 10]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [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.