MinT - Information on Result #2610409

Information on Result #2610409

Linear OOA(2⁷², 27, F₂, 3, 42) (dual of [(27, 3), 9, 43]-NRT-code), using strength reduction based on linear OOA(2⁷², 27, F₂, 3, 43) (dual of [(27, 3), 9, 44]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²¹, 10, F₂, 3, 15) (dual of [(10, 3), 9, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(2⁴², 17, F₂, 3, 27) (dual of [(17, 3), 9, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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.