MinT - Information on Result #809928

Information on Result #809928

Linear OOA(2¹⁶⁷, 107, F₂, 2, 55) (dual of [(107, 2), 47, 56]-NRT-code), using OOA 2-folding based on linear OA(2¹⁶⁷, 214, F₂, 55) (dual of [214, 47, 56]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁶⁷, 215, F₂, 55) (dual of [215, 48, 56]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16³¹, 43, F₁₆, 27) (dual of [43, 12, 28]-code), using
    - discarding factors / shortening the dual code based on linear OA(16³¹, 45, F₁₆, 27) (dual of [45, 14, 28]-code), using
      - extended algebraic-geometric code AG_e(F,17P) [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.