MinT - Information on Result #2780796

Information on Result #2780796

Linear OOA(2¹¹⁴, 29, F₂, 4, 97) (dual of [(29, 4), 2, 98]-NRT-code), using 7 step truncation based on linear OOA(2¹²¹, 31, F₂, 4, 104) (dual of [(31, 4), 3, 105]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁹, 3, F₂, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;3,2) [i]
2. linear OOA(2¹⁰⁹, 28, F₂, 4, 94) (dual of [(28, 4), 3, 95]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁹, 3, F₂, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code) (see above)
    2. linear OOA(2⁹⁷, 25, F₂, 4, 84) (dual of [(25, 4), 3, 85]-NRT-code), using
      - repeating each code word 5 times [i] based on linear OOA(2¹⁷, 5, F₂, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;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.