MinT - Information on Result #2859525

Information on Result #2859525

Linear OOA(2⁶¹, 12, F₂, 5, 55), using 1 step truncation based on linear OOA(2⁶², 13, F₂, 5, 56) (dual of [(13, 5), 3, 57]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹², 3, F₂, 5, 12) (dual of [(3, 5), 3, 13]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(5;3,2) [i]
2. linear OOA(2⁴⁷, 10, F₂, 5, 43) (dual of [(10, 5), 3, 44]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2²², 5, F₂, 5, 21) (dual of [(5, 5), 3, 22]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;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.