MinT - Information on Result #2463232

Information on Result #2463232

Linear OOA(3¹³⁷, 71, F₃, 2, 97) (dual of [(71, 2), 5, 98]-NRT-code), using 11 step truncation based on linear OOA(3¹⁴⁸, 77, F₃, 2, 108) (dual of [(77, 2), 6, 109]-NRT-code), using

strength reduction [i] based on linear OOA(3¹⁴⁸, 77, F₃, 2, 109) (dual of [(77, 2), 6, 110]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(27⁹, 11, F₂₇, 9) (dual of [11, 2, 10]-code or 11-arc in PG(8,27)), using
    - discarding factors / shortening the dual code based on linear OA(27⁹, 27, F₂₇, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
      - Reedâ€“Solomon code RS(18,27) [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.