MinT - Information on Result #982660

Information on Result #982660

Linear OOA(8⁸⁶, 30, F₈, 3, 73) (dual of [(30, 3), 4, 74]-NRT-code), using OOA 3-folding based on linear OA(8⁸⁶, 90, F₈, 73) (dual of [90, 4, 74]-code), using

strength reduction [i] based on linear OA(8⁸⁶, 90, F₈, 74) (dual of [90, 4, 75]-code), using
- juxtaposition [i] based on
  1. linear OA(8¹¹, 15, F₈, 10) (dual of [15, 4, 11]-code), using
    - 1 times truncation [i] based on linear OA(8¹², 16, F₈, 11) (dual of [16, 4, 12]-code), using
      - a code by Marcugini, Milani, and Pambianco [i]
  2. 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.