MinT - Information on Result #2843091

Information on Result #2843091

Linear OOA(2¹⁸⁵, 46, F₂, 5, 117) (dual of [(46, 5), 45, 118]-NRT-code), using strength reduction based on linear OOA(2¹⁸⁵, 46, F₂, 5, 118) (dual of [(46, 5), 45, 119]-NRT-code), using

constructionÂ X applied to AG(5;F,86P) âŠ‚ AG(5;F,99P) [i] based on
1. linear OOA(2¹⁷², 41, F₂, 5, 118) (dual of [(41, 5), 33, 119]-NRT-code), using algebraic-geometric NRT-code AG(5;F,86P) [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(2¹⁵⁹, 41, F₂, 5, 105) (dual of [(41, 5), 46, 106]-NRT-code), using algebraic-geometric NRT-code AG(5;F,99P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
3. linear OOA(2¹³, 5, F₂, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,12P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.