MinT - Information on Result #2839655

Information on Result #2839655

Linear OOA(2¹²⁰, 44, F₂, 5, 58) (dual of [(44, 5), 100, 59]-NRT-code), using strength reduction based on linear OOA(2¹²⁰, 44, F₂, 5, 59) (dual of [(44, 5), 100, 60]-NRT-code), using

constructionÂ X applied to AG(5;F,145P) âŠ‚ AG(5;F,153P) [i] based on
1. linear OOA(2¹¹³, 41, F₂, 5, 59) (dual of [(41, 5), 92, 60]-NRT-code), using algebraic-geometric NRT-code AG(5;F,145P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁰⁵, 41, F₂, 5, 51) (dual of [(41, 5), 100, 52]-NRT-code), using algebraic-geometric NRT-code AG(5;F,153P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
3. linear OOA(2⁷, 3, F₂, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(5;8,2) [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.