MinT - Information on Result #1055716

Information on Result #1055716

Linear OOA(2¹⁰³, 29, F₂, 4, 53) (dual of [(29, 4), 13, 54]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁰³, 58, F₂, 2, 53) (dual of [(58, 2), 13, 54]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁰³, 59, F₂, 2, 53) (dual of [(59, 2), 15, 54]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2¹⁰⁵, 60, F₂, 2, 55) (dual of [(60, 2), 15, 56]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(8¹⁵, 20, F₈, 13) (dual of [20, 5, 14]-code), using
      - generator matrices provided on Edelâ€™s homepage [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.