MinT - Information on Result #2481190

Information on Result #2481190

Linear OOA(2¹⁸⁵, 180, F₂, 2, 51) (dual of [(180, 2), 175, 52]-NRT-code), using 2¹ times duplication based on linear OOA(2¹⁸⁴, 180, F₂, 2, 51) (dual of [(180, 2), 176, 52]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16²⁸, 36, F₁₆, 2, 25) (dual of [(36, 2), 44, 26]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16²⁸, 38, F₁₆, 2, 25) (dual of [(38, 2), 48, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,50P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
      - a function field by SÃ©mirat [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.