MinT - Information on Result #2846544

Information on Result #2846544

Linear OOA(2²³³, 54, F₂, 5, 146) (dual of [(54, 5), 37, 147]-NRT-code), using strength reduction based on linear OOA(2²³³, 54, F₂, 5, 147) (dual of [(54, 5), 37, 148]-NRT-code), using

constructionÂ X applied to AG(5;F,46P) âŠ‚ AG(5;F,54P) [i] based on
1. linear OOA(2²¹⁶, 48, F₂, 5, 147) (dual of [(48, 5), 24, 148]-NRT-code), using algebraic-geometric NRT-code AG(5;F,46P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
2. linear OOA(2²⁰⁰, 48, F₂, 5, 131) (dual of [(48, 5), 40, 132]-NRT-code), using algebraic-geometric NRT-code AG(5;F,54P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48 (see above)
3. linear OOA(2¹⁷, 6, F₂, 5, 15) (dual of [(6, 5), 13, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,14P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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.