MinT - Information on Result #1717872

Information on Result #1717872

Digital (75, 89, 15280)-net over F₄, using net defined by OOA based on linear OOA(4⁸⁹, 15280, F₄, 21, 14) (dual of [(15280, 21), 320791, 15]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(4⁸⁹, 45841, F₄, 3, 14) (dual of [(45841, 3), 137434, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁸⁹, 45842, F₄, 3, 14) (dual of [(45842, 3), 137437, 15]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(4⁸⁹, 45842, F₄, 14) (dual of [45842, 45753, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(4⁸⁹, 65546, F₄, 14) (dual of [65546, 65457, 15]-code), using
      - (u,Â u+v)-construction [i] based on
        linear OA(4⁸, 10, F₄, 7) (dual of [10, 2, 8]-code), using
        repeating each code word 2 times [i] based on linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
        extended Reedâ€“Solomon code RS_e(2,4) [i]
        Simplex code S(2,4) [i]
        linear OA(4⁸¹, 65536, F₄, 14) (dual of [65536, 65455, 15]-code), using
        an extension C_e(13) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 4⁸âˆ’1, defining interval IÂ =Â [1,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [i]

Mode: 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.