MinT - Information on Result #2652984

Information on Result #2652984

Linear OOA(2¹²³, 43, F₂, 3, 82) (dual of [(43, 3), 6, 83]-NRT-code), using 4 step truncation based on linear OOA(2¹²⁷, 45, F₂, 3, 86) (dual of [(45, 3), 8, 87]-NRT-code), using

strength reduction [i] based on linear OOA(2¹²⁷, 45, F₂, 3, 87) (dual of [(45, 3), 8, 88]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16⁷, 9, F₁₆, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁷, 16, F₁₆, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
      - Reedâ€“Solomon code RS(9,16) [i]
  2. linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.