MinT - Information on Result #2446063

Information on Result #2446063

Linear OOA(4²⁵², 165, F₄, 2, 130) (dual of [(165, 2), 78, 131]-NRT-code), using strength reduction based on linear OOA(4²⁵², 165, F₄, 2, 131) (dual of [(165, 2), 78, 132]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16⁷¹, 55, F₁₆, 2, 65) (dual of [(55, 2), 39, 66]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16⁷¹, 64, F₁₆, 2, 65) (dual of [(64, 2), 57, 66]-NRT-code), using
    - algebraic-geometric NRT-code AG(2;F,62P) [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(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.