MinT - Information on Result #2844422

Information on Result #2844422

Linear OOA(2²⁰⁵, 44, F₂, 5, 142) (dual of [(44, 5), 15, 143]-NRT-code), using strength reduction based on linear OOA(2²⁰⁵, 44, F₂, 5, 144) (dual of [(44, 5), 15, 145]-NRT-code), using

constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,53P) [i] based on
1. linear OOA(2¹⁵⁹, 32, F₂, 5, 159) (dual of [(32, 5), 1, 160]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁵, 32, F₂, 5, 106) (dual of [(32, 5), 15, 107]-NRT-code), using algebraic-geometric NRT-code AG(5;F,53P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
3. linear OOA(2⁴⁶, 12, F₂, 5, 37) (dual of [(12, 5), 14, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,22P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, 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.