MinT - Information on Result #1100702

Information on Result #1100702

Linear OOA(3¹⁴³, 2796252, F₃, 5, 10) (dual of [(2796252, 5), 13981117, 11]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁴³, 5592504, F₃, 3, 10) (dual of [(5592504, 3), 16777369, 11]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁴³, 5592505, F₃, 3, 10) (dual of [(5592505, 3), 16777372, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹³, 103, F₃, 3, 5) (dual of [(103, 3), 296, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 13, 103)-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.