MinT - Information on Result #2656698

Information on Result #2656698

Linear OOA(2²⁵³, 89, F₂, 3, 152) (dual of [(89, 3), 14, 153]-NRT-code), using 1 step truncation based on linear OOA(2²⁵⁴, 90, F₂, 3, 153) (dual of [(90, 3), 16, 154]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁵⁴, 90, F₂, 3, 155) (dual of [(90, 3), 16, 156]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16¹¹, 15, F₁₆, 11) (dual of [15, 4, 12]-code or 15-arc in PG(10,16)), using
    - discarding factors / shortening the dual code based on linear OA(16¹¹, 16, F₁₆, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
      - Reedâ€“Solomon code RS(5,16) [i]
  2. linear OOA(2¹⁴, 6, F₂, 3, 12) (dual of [(6, 3), 4, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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.