MinT - Information on Result #2918990

Information on Result #2918990

Linear OOA(2¹⁸⁷, 31, F₂, 6, 161), using 25 step truncation based on linear OOA(2²¹², 36, F₂, 6, 186) (dual of [(36, 6), 4, 187]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,4P) [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(2¹⁸², 31, F₂, 6, 160) (dual of [(31, 6), 4, 161]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code) (see above)
    2. linear OOA(2¹⁵², 26, F₂, 6, 134) (dual of [(26, 6), 4, 135]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code) (see above)
        linear OOA(2¹²², 21, F₂, 6, 108) (dual of [(21, 6), 4, 109]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code) (see above)
        linear OOA(2⁹², 16, F₂, 6, 82) (dual of [(16, 6), 4, 83]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code) (see above)
        linear OOA(2⁶², 11, F₂, 6, 56) (dual of [(11, 6), 4, 57]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code) (see above)
        linear OOA(2³², 6, F₂, 6, 30) (dual of [(6, 6), 4, 31]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(6;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.