MinT - Information on Result #830570

Information on Result #830570

Linear OOA(4²²⁴, 208, F₄, 2, 74) (dual of [(208, 2), 192, 75]-NRT-code), using OOA 2-folding based on linear OA(4²²⁴, 416, F₄, 74) (dual of [416, 192, 75]-code), using

strength reduction [i] based on linear OA(4²²⁴, 416, F₄, 75) (dual of [416, 192, 76]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64⁴⁰, 104, F₆₄, 37) (dual of [104, 64, 38]-code), using
    - extended algebraic-geometric code AG_e(F,66P) [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.