MinT - Information on Result #2839295

Information on Result #2839295

Linear OOA(2¹¹², 25, F₂, 5, 79) (dual of [(25, 5), 13, 80]-NRT-code), using strength reduction based on linear OOA(2¹¹², 25, F₂, 5, 80) (dual of [(25, 5), 13, 81]-NRT-code), using

constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,31P) [i] based on
1. linear OOA(2⁹⁴, 19, F₂, 5, 94) (dual of [(19, 5), 1, 95]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁸², 19, F₂, 5, 63) (dual of [(19, 5), 13, 64]-NRT-code), using algebraic-geometric NRT-code AG(5;F,31P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20 (see above)
3. linear OOA(2¹⁸, 6, F₂, 5, 16) (dual of [(6, 5), 12, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,13P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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.