MinT - Information on Result #1058836

Information on Result #1058836

Linear OOA(2²¹², 56, F₂, 4, 117) (dual of [(56, 4), 12, 118]-NRT-code), using OOA 2-folding based on linear OOA(2²¹², 112, F₂, 2, 117) (dual of [(112, 2), 12, 118]-NRT-code), using

strength reduction [i] based on linear OOA(2²¹², 112, F₂, 2, 119) (dual of [(112, 2), 12, 120]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16¹¹, 14, F₁₆, 11) (dual of [14, 3, 12]-code or 14-arc in PG(10,16)), using
    - discarding factors / shortening the dual code based on linear OA(16¹¹, 16, F₁₆, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
      - Reedâ€“Solomon code RS(5,16) [i]
  2. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
    - an explicit generator matrix by Edel [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.