MinT - Information on Result #2214579

Information on Result #2214579

Linear OA(8¹⁶², 166, F₈, 137) (dual of [166, 4, 138]-code), using strength reduction based on linear OA(8¹⁶², 166, F₈, 139) (dual of [166, 4, 140]-code), using

juxtaposition [i] based on
1. linear OA(8¹², 16, F₈, 11) (dual of [16, 4, 12]-code), using
  - a code by Marcugini, Milani, and Pambianco [i]
2. linear OA(8¹⁴⁶, 150, F₈, 127) (dual of [150, 4, 128]-code), using
  - repeating each code word 2 times [i] based on linear OA(8⁷¹, 75, F₈, 63) (dual of [75, 4, 64]-code), using
    - constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [65,1,64]-code [i] based on
      1. linear OA(8⁶¹, 65, F₈, 55) (dual of [65, 4, 56]-code), using projective code from ovoid in PG(3,Â 8) [i]
      2. linear OA(8⁷, 10, F₈, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
        Denniston code D(1,8) [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.