MinT - Information on Result #834707

Information on Result #834707

Linear OOA(4²⁰⁶, 107, F₄, 2, 142) (dual of [(107, 2), 8, 143]-NRT-code), using OOA 2-folding based on linear OA(4²⁰⁶, 214, F₄, 142) (dual of [214, 8, 143]-code), using

discarding factors / shortening the dual code based on linear OA(4²⁰⁶, 215, F₄, 142) (dual of [215, 9, 143]-code), using
- 1 times truncation [i] based on linear OA(4²⁰⁷, 216, F₄, 143) (dual of [216, 9, 144]-code), using
  - (u,Â uâˆ’v,Â u+v+w)-construction [i] based on
    1. linear OA(4⁶⁴, 72, F₄, 47) (dual of [72, 8, 48]-code), using
      - BCH codes lengthened with UEP codes [i]
    2. linear OA(4⁷¹, 72, F₄, 71) (dual of [72, 1, 72]-code or 72-arc in PG(70,4)), using
      - dual of repetition code with length 72 [i]
    3. linear OA(4⁷², 72, F₄, 72) (dual of [72, 0, 73]-code or 72-arc in PG(71,4)), using
      - complete OA / dual of code with only one code word [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.