MinT - Information on Result #809765

Information on Result #809765

Linear OOA(2¹⁶⁵, 112, F₂, 2, 53) (dual of [(112, 2), 59, 54]-NRT-code), using OOA 2-folding based on linear OA(2¹⁶⁵, 224, F₂, 53) (dual of [224, 59, 54]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁶⁵, 225, F₂, 53) (dual of [225, 60, 54]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16³⁰, 45, F₁₆, 26) (dual of [45, 15, 27]-code), using
    - extended algebraic-geometric code AG_e(F,18P) [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
      - a function field by GarcÃa and Quoos [i]
  2. linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 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.