MinT - Information on Result #1579514

Information on Result #1579514

Linear OOA(3¹⁹², 5063, F₃, 4, 30) (dual of [(5063, 4), 20060, 31]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁹², 10126, F₃, 2, 30) (dual of [(10126, 2), 20060, 31]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁹², 10127, F₃, 2, 30) (dual of [(10127, 2), 20062, 31]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(3¹⁹², 10127, F₃, 30) (dual of [10127, 9935, 31]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁹², 19731, F₃, 30) (dual of [19731, 19539, 31]-code), using
    - strength reduction [i] based on linear OA(3¹⁹², 19731, F₃, 31) (dual of [19731, 19539, 32]-code), using
      - constructionÂ X applied to C([0,15]) âŠ‚ C([0,12]) [i] based on
        linear OA(3¹⁸¹, 19684, F₃, 31) (dual of [19684, 19503, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684Â | 3¹⁸âˆ’1, defining interval IÂ =Â [0,15], and minimum distance dÂ â‰¥ |{−15,−14,…,15}|+1Â =Â 32 (BCH-bound) [i]
        linear OA(3¹⁴⁵, 19684, F₃, 25) (dual of [19684, 19539, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684Â | 3¹⁸âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (BCH-bound) [i]
        linear OA(3¹¹, 47, F₃, 5) (dual of [47, 36, 6]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹¹, 85, F₃, 5) (dual of [85, 74, 6]-code), using
        codes constructed by inverting constructionÂ Y₁ [i]

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.