MinT - Information on Result #2610815

Information on Result #2610815

Linear OOA(2⁸⁸, 31, F₂, 3, 60) (dual of [(31, 3), 5, 61]-NRT-code), using strength reduction based on linear OOA(2⁸⁸, 31, F₂, 3, 61) (dual of [(31, 3), 5, 62]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁰, 5, F₂, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁷³, 26, F₂, 3, 51) (dual of [(26, 3), 5, 52]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2¹⁰, 5, F₂, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code) (see above)
    2. linear OOA(2⁵⁸, 21, F₂, 3, 41) (dual of [(21, 3), 5, 42]-NRT-code), using
      - repeating each code word 3 times [i] based on linear OOA(2¹⁶, 7, F₂, 3, 13) (dual of [(7, 3), 5, 14]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, 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.