MinT - Information on Result #2472873

Information on Result #2472873

Linear OOA(4¹⁷¹, 116, F₄, 2, 86) (dual of [(116, 2), 61, 87]-NRT-code), using 1 step truncation based on linear OOA(4¹⁷², 117, F₄, 2, 87) (dual of [(117, 2), 62, 88]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16⁴⁷, 39, F₁₆, 2, 43) (dual of [(39, 2), 31, 44]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16⁴⁷, 45, F₁₆, 2, 43) (dual of [(45, 2), 43, 44]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,46P) [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
      - a function field by GarcÃa and Quoos [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.