MinT - Information on Result #829313

Information on Result #829313

Linear OOA(4¹⁹², 180, F₄, 2, 63) (dual of [(180, 2), 168, 64]-NRT-code), using OOA 2-folding based on linear OA(4¹⁹², 360, F₄, 63) (dual of [360, 168, 64]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁴, 90, F₆₄, 31) (dual of [90, 56, 32]-code), using
  - discarding factors / shortening the dual code based on linear OA(64³⁴, 103, F₆₄, 31) (dual of [103, 69, 32]-code), using
    - algebraic-geometric code AG(F,71P) [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
      - a function field by SÃ©mirat [i]
2. linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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.