MinT - Information on Result #1100771

Information on Result #1100771

Linear OOA(3¹⁵⁷, 2796239, F₃, 5, 11) (dual of [(2796239, 5), 13981038, 12]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁵⁷, 5592478, F₃, 3, 11) (dual of [(5592478, 3), 16777277, 12]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁵⁷, 5592479, F₃, 3, 11) (dual of [(5592479, 3), 16777280, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹¹, 77, F₃, 3, 5) (dual of [(77, 3), 220, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (6, 11, 77)-net over F₃, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(3¹⁴⁶, 5592402, F₃, 3, 11) (dual of [(5592402, 3), 16777060, 12]-NRT-code), using
    - trace code [i] based on linear OOA(9⁷³, 2796201, F₉, 3, 11) (dual of [(2796201, 3), 8388530, 12]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(9⁷³, large, F₉, 11) (dual of [large, large−73, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’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.