MinT - Information on Result #945647

Information on Result #945647

Linear OOA(2³³, 13, F₂, 3, 17) (dual of [(13, 3), 6, 18]-NRT-code), using OOA 3-folding based on linear OA(2³³, 39, F₂, 17) (dual of [39, 6, 18]-code), using

concatenation of two codes [i] based on
1. linear OA(4¹⁰, 13, F₄, 8) (dual of [13, 3, 9]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹⁰, 14, F₄, 8) (dual of [14, 4, 9]-code), using
    - 3 times truncation [i] based on linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
      - projective code from ovoid in PG(3,Â 4) [i]
2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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.