MinT - Information on Result #1059218

Information on Result #1059218

Linear OOA(2²²⁸, 58, F₂, 4, 152) (dual of [(58, 4), 4, 153]-NRT-code), using OOA 2-folding based on linear OOA(2²²⁸, 116, F₂, 2, 152) (dual of [(116, 2), 4, 153]-NRT-code), using

2 step truncation [i] based on linear OOA(2²³⁰, 117, F₂, 2, 154) (dual of [(117, 2), 4, 155]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(4³⁷, 39, F₄, 30) (dual of [39, 2, 31]-code), using
    - 1 times truncation [i] based on linear OA(4³⁸, 40, F₄, 31) (dual of [40, 2, 32]-code), using
      - repeating each code word 8 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]
  2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [i]

Mode: Constructive and 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.