MinT - Information on Result #1058588

Information on Result #1058588

Linear OOA(2¹⁹³, 51, F₂, 4, 106) (dual of [(51, 4), 11, 107]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁹³, 102, F₂, 2, 106) (dual of [(102, 2), 11, 107]-NRT-code), using

3 step truncation [i] based on linear OOA(2¹⁹⁶, 104, F₂, 2, 109) (dual of [(104, 2), 12, 110]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16¹⁰, 13, F₁₆, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,16)), using
    - discarding factors / shortening the dual code based on linear OA(16¹⁰, 16, F₁₆, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
      - Reedâ€“Solomon code RS(6,16) [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.