MinT - Information on Result #2861380

Information on Result #2861380

Linear OOA(2¹⁹³, 43, F₂, 5, 133) (dual of [(43, 5), 22, 134]-NRT-code), using 2 step truncation based on linear OOA(2¹⁹⁵, 44, F₂, 5, 135) (dual of [(44, 5), 25, 136]-NRT-code), using

strength reduction [i] based on linear OOA(2¹⁹⁵, 44, F₂, 5, 136) (dual of [(44, 5), 25, 137]-NRT-code), using
- constructionÂ X applied to AG(5;F,12P) âŠ‚ AG(5;F,13P) [i] based on
  1. linear OOA(2¹⁹¹, 42, F₂, 5, 137) (dual of [(42, 5), 19, 138]-NRT-code), using algebraic-geometric NRT-code AG(5;F,12P) with degPÂ =Â 6 [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(2¹⁸⁵, 42, F₂, 5, 131) (dual of [(42, 5), 25, 132]-NRT-code), using algebraic-geometric NRT-code AG(5;F,13P) with degPÂ =Â 6 [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(2⁴, 2, F₂, 5, 4) (dual of [(2, 5), 6, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(5;6,2) [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.