MinT - Information on Result #1057827

Information on Result #1057827

Linear OOA(2¹⁶³, 44, F₂, 4, 85) (dual of [(44, 4), 13, 86]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁶³, 88, F₂, 2, 85) (dual of [(88, 2), 13, 86]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁶³, 89, F₂, 2, 85) (dual of [(89, 2), 15, 86]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2¹⁶⁵, 90, F₂, 2, 87) (dual of [(90, 2), 15, 88]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(8²⁵, 30, F₈, 21) (dual of [30, 5, 22]-code), using
      - a quasi-cyclic code by Gulliver and Bhargava [i]
    2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [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.