MinT - Information on Result #809598

Information on Result #809598

Linear OOA(2¹⁸⁹, 162, F₂, 2, 51) (dual of [(162, 2), 135, 52]-NRT-code), using OOA 2-folding based on linear OA(2¹⁸⁹, 324, F₂, 51) (dual of [324, 135, 52]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁸⁹, 325, F₂, 51) (dual of [325, 136, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16³¹, 65, F₁₆, 25) (dual of [65, 34, 26]-code), using
    - extended algebraic-geometric code AG_e(F,39P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
      - the Hermitian function field over F₁₆ [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.