MinT - Information on Result #1100696

Information on Result #1100696

Linear OOA(3¹³⁷, 2796206, F₃, 5, 10) (dual of [(2796206, 5), 13980893, 11]-NRT-code), using OOA 2-folding based on linear OOA(3¹³⁷, 5592412, F₃, 3, 10) (dual of [(5592412, 3), 16777099, 11]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹³⁷, 5592413, F₃, 3, 10) (dual of [(5592413, 3), 16777102, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁷, 11, F₃, 3, 5) (dual of [(11, 3), 26, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 7, 11)-net over F₃, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(3¹³⁰, 5592402, F₃, 3, 10) (dual of [(5592402, 3), 16777076, 11]-NRT-code), using
    - trace code [i] based on linear OOA(9⁶⁵, 2796201, F₉, 3, 10) (dual of [(2796201, 3), 8388538, 11]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(9⁶⁵, large, F₉, 10) (dual of [large, large−65, 11]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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.