MinT - Information on Result #1054871

Information on Result #1054871

Linear OOA(2⁶⁸, 18, F₂, 4, 44) (dual of [(18, 4), 4, 45]-NRT-code), using OOA 2-folding based on linear OOA(2⁶⁸, 36, F₂, 2, 44) (dual of [(36, 2), 4, 45]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(4¹⁰, 12, F₄, 8) (dual of [12, 2, 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 OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(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.