MinT - Information on Result #2848157

Information on Result #2848157

Linear OOA(2²⁵¹, 54, F₂, 5, 170) (dual of [(54, 5), 19, 171]-NRT-code), using strength reduction based on linear OOA(2²⁵¹, 54, F₂, 5, 173) (dual of [(54, 5), 19, 174]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁸⁶, 21, F₂, 5, 65) (dual of [(21, 5), 19, 66]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,39P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁶, 33, F₂, 5, 107) (dual of [(33, 5), 19, 108]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,57P) [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.