MinT - Information on Result #2839182

Information on Result #2839182

Linear OOA(2¹⁰⁹, 25, F₂, 5, 73) (dual of [(25, 5), 16, 74]-NRT-code), using strength reduction based on linear OOA(2¹⁰⁹, 25, F₂, 5, 75) (dual of [(25, 5), 16, 76]-NRT-code), using

constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,30P) [i] based on
1. linear OOA(2⁷⁹, 16, F₂, 5, 79) (dual of [(16, 5), 1, 80]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁶⁴, 16, F₂, 5, 49) (dual of [(16, 5), 16, 50]-NRT-code), using algebraic-geometric NRT-code AG(5;F,30P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17 (see above)
3. linear OOA(2³⁰, 9, F₂, 5, 25) (dual of [(9, 5), 15, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,19P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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.