MinT - Information on Result #1059665

Information on Result #1059665

Linear OOA(3¹¹⁵, 2097164, F₃, 4, 11) (dual of [(2097164, 4), 8388541, 12]-NRT-code), using OOA 2-folding based on linear OOA(3¹¹⁵, 4194328, F₃, 2, 11) (dual of [(4194328, 2), 8388541, 12]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹¹⁵, 4194329, F₃, 2, 11) (dual of [(4194329, 2), 8388543, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁹, 28, F₃, 2, 5) (dual of [(28, 2), 47, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 9, 28)-net over F₃, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(3¹⁰⁶, 4194301, F₃, 2, 11) (dual of [(4194301, 2), 8388496, 12]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹⁰⁶, 8388602, F₃, 11) (dual of [8388602, 8388496, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁰⁶, large, F₃, 11) (dual of [large, large−106, 12]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [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.