MinT - Information on Result #2917540

Information on Result #2917540

Linear OOA(2⁶¹, 10, F₂, 6, 56), using 2 step truncation based on linear OOA(2⁶³, 11, F₂, 6, 58) (dual of [(11, 6), 3, 59]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁵, 3, F₂, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(6;3,2) [i]
2. linear OOA(2⁴⁵, 8, F₂, 6, 42) (dual of [(8, 6), 3, 43]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2¹⁵, 3, F₂, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code) (see above)
    2. linear OOA(2²⁷, 5, F₂, 6, 26) (dual of [(5, 6), 3, 27]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(6;F,3P) [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, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.