MinT - Information on Result #2861165

Information on Result #2861165

Linear OOA(2²⁴³, 49, F₂, 5, 207) (dual of [(49, 5), 2, 208]-NRT-code), using 14 step truncation based on linear OOA(2²⁵⁷, 52, F₂, 5, 221) (dual of [(52, 5), 3, 222]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁵⁷, 52, F₂, 5, 223) (dual of [(52, 5), 3, 224]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(2⁶², 13, F₂, 5, 55) (dual of [(13, 5), 3, 56]-NRT-code), using
  - strength reduction [i] 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, 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.