MinT - Information on Result #1055927

Information on Result #1055927

Linear OOA(2¹⁸⁴, 83, F₂, 4, 55) (dual of [(83, 4), 148, 56]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁸⁴, 166, F₂, 2, 55) (dual of [(166, 2), 148, 56]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(2¹⁸², 165, F₂, 2, 55) (dual of [(165, 2), 148, 56]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16²⁹, 33, F₁₆, 2, 27) (dual of [(33, 2), 37, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,38P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, 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.