MinT - Information on Result #2765197

Information on Result #2765197

Linear OOA(2²¹³, 57, F₂, 4, 130) (dual of [(57, 4), 15, 131]-NRT-code), using strength reduction based on linear OOA(2²¹³, 57, F₂, 4, 132) (dual of [(57, 4), 15, 133]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁵, 15, F₂, 4, 32) (dual of [(15, 4), 15, 33]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,27P) [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(2¹⁵³, 42, F₂, 4, 99) (dual of [(42, 4), 15, 100]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,68P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, 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.