MinT - Information on Result #625493

Information on Result #625493

Linear OA(4¹³⁰, 156, F₄, 47) (dual of [156, 26, 48]-code), using repeating each code word 2 times based on linear OA(4⁵², 78, F₄, 23) (dual of [78, 26, 24]-code), using

discarding factors / shortening the dual code based on linear OA(4⁵², 80, F₄, 23) (dual of [80, 28, 24]-code), using
- (u,Â uâˆ’v,Â u+v+w)-construction [i] based on
  1. linear OA(4¹¹, 26, F₄, 7) (dual of [26, 15, 8]-code), using
    - 4 times truncation [i] based on linear OA(4¹⁵, 30, F₄, 11) (dual of [30, 15, 12]-code), using
      - extended quadratic residue code Q_e(30,4) [i]
  2. linear OA(4¹⁵, 27, F₄, 11) (dual of [27, 12, 12]-code), using
    - discarding factors / shortening the dual code based on linear OA(4¹⁵, 30, F₄, 11) (dual of [30, 15, 12]-code) (see above)
  3. linear OA(4²⁶, 27, F₄, 23) (dual of [27, 1, 24]-code), using
    - strength reduction [i] based on linear OA(4²⁶, 27, F₄, 26) (dual of [27, 1, 27]-code or 27-arc in PG(25,4)), using
      - dual of repetition code with length 27 [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.