MinT - Information on Result #2954379

Information on Result #2954379

Linear OOA(2²⁴², 37, F₂, 7, 189) (dual of [(37, 7), 17, 190]-NRT-code), using strength reduction based on linear OOA(2²⁴², 37, F₂, 7, 192) (dual of [(37, 7), 17, 193]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁰², 17, F₂, 7, 87) (dual of [(17, 7), 17, 88]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,31P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹²³, 20, F₂, 7, 104) (dual of [(20, 7), 17, 105]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,35P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.