MinT - Information on Result #1169772

Information on Result #1169772

Linear OOA(2¹⁸⁴, 24, F₂, 8, 129) (dual of [(24, 8), 8, 130]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁸⁴, 48, F₂, 4, 129) (dual of [(48, 4), 8, 130]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³², 10, F₂, 4, 26) (dual of [(10, 4), 8, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁴, 38, F₂, 4, 102) (dual of [(38, 4), 8, 103]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³², 10, F₂, 4, 26) (dual of [(10, 4), 8, 27]-NRT-code) (see above)
    2. linear OOA(2¹⁰⁴, 28, F₂, 4, 75) (dual of [(28, 4), 8, 76]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(2⁴⁸, 14, F₂, 4, 37) (dual of [(14, 4), 8, 38]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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.