MinT - Information on Result #1053697

Information on Result #1053697

Linear OOA(2⁵⁴, 15, F₂, 4, 32) (dual of [(15, 4), 6, 33]-NRT-code), using OOA 2-folding based on linear OOA(2⁵⁴, 30, F₂, 2, 32) (dual of [(30, 2), 6, 33]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(4¹², 15, F₄, 10) (dual of [15, 3, 11]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹², 16, F₄, 10) (dual of [16, 4, 11]-code), using
    - 1 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 OOA(2², 2, F₂, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;2,2) [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.