MinT - Information on Result #2916754

Information on Result #2916754

Linear OOA(2²⁵⁸, 44, F₂, 6, 212) (dual of [(44, 6), 6, 213]-NRT-code), using strength reduction based on linear OOA(2²⁵⁸, 44, F₂, 6, 213) (dual of [(44, 6), 6, 214]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁰, 6, F₂, 6, 28) (dual of [(6, 6), 6, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;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(2²²², 38, F₂, 6, 184) (dual of [(38, 6), 6, 185]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³⁰, 6, F₂, 6, 28) (dual of [(6, 6), 6, 29]-NRT-code) (see above)
    2. linear OOA(2¹⁸⁶, 32, F₂, 6, 155) (dual of [(32, 6), 6, 156]-NRT-code), using
      - repeating each code word 4 times [i] based on linear OOA(2⁴², 8, F₂, 6, 38) (dual of [(8, 6), 6, 39]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(6;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, 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.