MinT - Information on Result #2844473

Information on Result #2844473

Linear OOA(2²⁰⁶, 44, F₂, 5, 144) (dual of [(44, 5), 14, 145]-NRT-code), using strength reduction based on linear OOA(2²⁰⁶, 44, F₂, 5, 146) (dual of [(44, 5), 14, 147]-NRT-code), using

constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,52P) [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(2¹⁴⁶, 32, F₂, 5, 107) (dual of [(32, 5), 14, 108]-NRT-code), using algebraic-geometric NRT-code AG(5;F,52P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
3. linear OOA(2⁴⁷, 12, F₂, 5, 38) (dual of [(12, 5), 13, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,21P) [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.