MinT - Information on Result #825499

Information on Result #825499

Linear OOA(4⁷⁷, 55, F₄, 2, 35) (dual of [(55, 2), 33, 36]-NRT-code), using OOA 2-folding based on linear OA(4⁷⁷, 110, F₄, 35) (dual of [110, 33, 36]-code), using

discarding factors / shortening the dual code based on linear OA(4⁷⁷, 111, F₄, 35) (dual of [111, 34, 36]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16²⁰, 37, F₁₆, 17) (dual of [37, 17, 18]-code), using
    - discarding factors / shortening the dual code based on linear OA(16²⁰, 38, F₁₆, 17) (dual of [38, 18, 18]-code), using
      - extended algebraic-geometric code AG_e(F,20P) [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(4¹, 3, F₄, 1) (dual of [3, 2, 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.