MinT - Information on Result #1063313

Information on Result #1063313

Linear OOA(3⁸², 24, F₃, 4, 48) (dual of [(24, 4), 14, 49]-NRT-code), using OOA 2-folding based on linear OOA(3⁸², 48, F₃, 2, 48) (dual of [(48, 2), 14, 49]-NRT-code), using

strength reduction [i] based on linear OOA(3⁸², 48, F₃, 2, 49) (dual of [(48, 2), 14, 50]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9²⁵, 16, F₉, 2, 24) (dual of [(16, 2), 7, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,7P) [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.