MinT - Information on Result #2655287

Information on Result #2655287

Linear OOA(2²⁵¹, 86, F₂, 3, 172) (dual of [(86, 3), 7, 173]-NRT-code), using 5 step truncation based on linear OOA(2²⁵⁶, 88, F₂, 3, 177) (dual of [(88, 3), 8, 178]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁶, 8, F₂, 3, 12) (dual of [(8, 3), 8, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2²³², 80, F₂, 3, 164) (dual of [(80, 3), 8, 165]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(16¹⁴, 16, F₁₆, 14) (dual of [16, 2, 15]-code or 16-arc in PG(13,16)), using
      - Reedâ€“Solomon code RS(2,16) [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.