MinT - Information on Result #2462499

Information on Result #2462499

Linear OOA(3⁵³, 41, F₃, 2, 24) (dual of [(41, 2), 29, 25]-NRT-code), using 1 step truncation based on linear OOA(3⁵⁴, 42, F₃, 2, 25) (dual of [(42, 2), 30, 26]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(9¹³, 14, F₉, 2, 12) (dual of [(14, 2), 15, 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.