MinT - Information on Result #1137745

Information on Result #1137745

Linear OOA(2²⁵⁸, 45, F₂, 6, 171) (dual of [(45, 6), 12, 172]-NRT-code), using OOA 2-folding based on linear OOA(2²⁵⁸, 90, F₂, 3, 171) (dual of [(90, 3), 12, 172]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁵⁸, 90, F₂, 3, 175) (dual of [(90, 3), 12, 176]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16¹⁵, 18, F₁₆, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
    - Denniston code D(1,16) [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.