MinT - Information on Result #1068352

Information on Result #1068352

Linear OOA(3²⁴⁰, 63, F₃, 4, 163) (dual of [(63, 4), 12, 164]-NRT-code), using OOA 2-folding based on linear OOA(3²⁴⁰, 126, F₃, 2, 163) (dual of [(126, 2), 12, 164]-NRT-code), using

strength reduction [i] based on linear OOA(3²⁴⁰, 126, F₃, 2, 164) (dual of [(126, 2), 12, 165]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(27¹⁴, 18, F₂₇, 14) (dual of [18, 4, 15]-code or 18-arc in PG(13,27)), using
    - discarding factors / shortening the dual code based on linear OA(27¹⁴, 27, F₂₇, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
      - Reedâ€“Solomon code RS(13,27) [i]
  2. linear OOA(3¹¹, 7, F₃, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [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.