MinT - Information on Result #1056855

Information on Result #1056855

Linear OOA(2¹¹⁶, 31, F₂, 4, 68) (dual of [(31, 4), 8, 69]-NRT-code), using OOA 2-folding based on linear OOA(2¹¹⁶, 62, F₂, 2, 68) (dual of [(62, 2), 8, 69]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(2¹¹⁴, 61, F₂, 2, 68) (dual of [(61, 2), 8, 69]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹², 10, F₂, 2, 8) (dual of [(10, 2), 8, 9]-NRT-code), using
    - an explicit generator matrix by Edel [i]
  2. linear OOA(2⁹⁴, 51, F₂, 2, 59) (dual of [(51, 2), 8, 60]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. 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.