MinT - Information on Result #2762968

Information on Result #2762968

Linear OOA(2¹⁷⁸, 48, F₂, 4, 112) (dual of [(48, 4), 14, 113]-NRT-code), using strength reduction based on linear OOA(2¹⁷⁸, 48, F₂, 4, 113) (dual of [(48, 4), 14, 114]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁶, 15, F₂, 4, 33) (dual of [(15, 4), 14, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,26P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹¹⁸, 33, F₂, 4, 79) (dual of [(33, 4), 14, 80]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,52P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, 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.