MinT - Information on Result #1104952

Information on Result #1104952

Linear OOA(3¹²⁹, 28, F₃, 5, 76) (dual of [(28, 5), 11, 77]-NRT-code), using OOA 5-folding based on linear OA(3¹²⁹, 140, F₃, 76) (dual of [140, 11, 77]-code), using

4 times truncation [i] based on linear OA(3¹³³, 144, F₃, 80) (dual of [144, 11, 81]-code), using
- constructionÂ XX applied toC₂ âŠ‚ C₁ âŠ‚ D₁ [i] based on
  1. linear OA(3¹¹⁶, 121, F₃, 80) (dual of [121, 5, 81]-code), using code C₂ for uÂ =Â 5 by de Boer and Brouwer [i]
  2. linear OA(3¹¹¹, 121, F₃, 71) (dual of [121, 10, 72]-code), using code C₁ for uÂ =Â 5 by de Boer and Brouwer [i]
  3. linear OA(3¹¹⁰, 121, F₃, 66) (dual of [121, 11, 67]-code), using augmented code D₁ for uÂ =Â 5 by de Boer and Brouwer [i]
  4. linear OA(3¹², 18, F₃, 8) (dual of [18, 6, 9]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹², 24, F₃, 8) (dual of [24, 12, 9]-code), using
      - extended quadratic residue code Q_e(24,3) [i]
  5. linear OA(3⁴, 5, F₃, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,3)), using
    - dual of repetition code with length 5 [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.