MinT - Information on Result #1094763

Information on Result #1094763

Linear OOA(3⁸², 2097163, F₃, 5, 8) (dual of [(2097163, 5), 10485733, 9]-NRT-code), using OOA stacking with additional row based on linear OOA(3⁸², 2097164, F₃, 4, 8) (dual of [(2097164, 4), 8388574, 9]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁶, 14, F₃, 4, 4) (dual of [(14, 4), 50, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(3⁶, 14, F₃, 3, 4) (dual of [(14, 3), 36, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 6, 14)-net over F₃, using
      - linear code embedding found in a computer search [i]
2. linear OOA(3⁷⁶, 2097150, F₃, 4, 8) (dual of [(2097150, 4), 8388524, 9]-NRT-code), using
  - OOA 4-folding [i] based on linear OA(3⁷⁶, 8388600, F₃, 8) (dual of [8388600, 8388524, 9]-code), using
    - discarding factors / shortening the dual code based on linear OA(3⁷⁶, large, F₃, 8) (dual of [large, large−76, 9]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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.