MinT - Information on Result #1196978

Information on Result #1196978

Digital (85, 110, 32557)-net over F₂₅, using net defined by OOA based on linear OOA(25¹¹⁰, 32557, F₂₅, 26, 25) (dual of [(32557, 26), 846372, 26]-NRT-code), using

OOA 6-folding and stacking with additional row [i] based on linear OOA(25¹¹⁰, 195343, F₂₅, 2, 25) (dual of [(195343, 2), 390576, 26]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(25¹², 26, F₂₅, 2, 12) (dual of [(26, 2), 40, 13]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;40,25) [i]
  2. linear OOA(25⁹⁸, 195317, F₂₅, 2, 25) (dual of [(195317, 2), 390536, 26]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(25⁹⁸, 390634, F₂₅, 25) (dual of [390634, 390536, 26]-code), using
      - discarding factors / shortening the dual code based on linear OA(25⁹⁸, 390635, F₂₅, 25) (dual of [390635, 390537, 26]-code), using
        constructionÂ X applied to C([0,12]) âŠ‚ C([0,11]) [i] based on
        linear OA(25⁹⁷, 390626, F₂₅, 25) (dual of [390626, 390529, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626Â | 25⁸âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (BCH-bound) [i]
        linear OA(25⁸⁹, 390626, F₂₅, 23) (dual of [390626, 390537, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626Â | 25⁸âˆ’1, defining interval IÂ =Â [0,11], and minimum distance dÂ â‰¥ |{−11,−10,…,11}|+1Â =Â 24 (BCH-bound) [i]
        linear OA(25¹, 9, F₂₅, 1) (dual of [9, 8, 2]-code), using
        discarding factors / shortening the dual code based on linear OA(25¹, s, F₂₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [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, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.