MinT - Information on Result #2767041

Information on Result #2767041

Linear OOA(2²⁴², 62, F₂, 4, 172) (dual of [(62, 4), 6, 173]-NRT-code), using strength reduction based on linear OOA(2²⁴², 62, F₂, 4, 178) (dual of [(62, 4), 6, 179]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁸, 6, F₂, 4, 16) (dual of [(6, 4), 6, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2²¹⁸, 56, F₂, 4, 161) (dual of [(56, 4), 6, 162]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2¹⁸, 6, F₂, 4, 16) (dual of [(6, 4), 6, 17]-NRT-code) (see above)
    2. linear OOA(2¹⁹⁴, 50, F₂, 4, 144) (dual of [(50, 4), 6, 145]-NRT-code), using
      - repeating each code word 5 times [i] based on linear OOA(2³⁴, 10, F₂, 4, 28) (dual of [(10, 4), 6, 29]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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.