MinT - Information on Result #1100846

Information on Result #1100846

Linear OOA(3¹⁷⁰, 2796205, F₃, 5, 12) (dual of [(2796205, 5), 13980855, 13]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁷⁰, 5592410, F₃, 3, 12) (dual of [(5592410, 3), 16777060, 13]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁷⁰, 5592411, F₃, 3, 12) (dual of [(5592411, 3), 16777063, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁸, 9, F₃, 3, 6) (dual of [(9, 3), 19, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 8, 9)-net over F₃, using
      - 1 times m-reduction [i] based on digital (2, 9, 9)-net over F₃, using
        a shift-net [i]
  2. linear OOA(3¹⁶², 5592402, F₃, 3, 12) (dual of [(5592402, 3), 16777044, 13]-NRT-code), using
    - trace code [i] based on linear OOA(9⁸¹, 2796201, F₉, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(9⁸¹, large, F₉, 12) (dual of [large, large−81, 13]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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.