MinT - Information on Result #1061188

Information on Result #1061188

Linear OOA(3⁵⁰, 18, F₃, 4, 25) (dual of [(18, 4), 22, 26]-NRT-code), using OOA 2-folding based on linear OOA(3⁵⁰, 36, F₃, 2, 25) (dual of [(36, 2), 22, 26]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(9¹³, 12, F₉, 2, 12) (dual of [(12, 2), 11, 13]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9¹³, 16, F₉, 2, 12) (dual of [(16, 2), 19, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,19P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
      - a function field by GarcÃa and Quoos [i]
2. linear OA(3¹, 3, F₃, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 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.