MinT - Information on Result #1099797

Information on Result #1099797

Linear OOA(2²⁰⁶, 47, F₂, 5, 84) (dual of [(47, 5), 29, 85]-NRT-code), using OOA 2-folding based on linear OOA(2²⁰⁶, 94, F₂, 3, 84) (dual of [(94, 3), 76, 85]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2²⁰⁶, 95, F₂, 3, 84) (dual of [(95, 3), 79, 85]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2²⁰⁷, 96, F₂, 3, 85) (dual of [(96, 3), 81, 86]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OOA(8⁴⁵, 24, F₈, 3, 42) (dual of [(24, 3), 27, 43]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
        the Klein quartic over F₈ [i]
    2. linear OA(2¹, 4, F₂, 1) (dual of [4, 3, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [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.