MinT - Information on Result #1056068

Information on Result #1056068

Linear OOA(2¹⁰⁶, 29, F₂, 4, 57) (dual of [(29, 4), 10, 58]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁰⁶, 58, F₂, 2, 57) (dual of [(58, 2), 10, 58]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁰⁶, 59, F₂, 2, 57) (dual of [(59, 2), 12, 58]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2¹⁰⁸, 60, F₂, 2, 59) (dual of [(60, 2), 12, 60]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(8¹⁶, 20, F₈, 14) (dual of [20, 4, 15]-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.