MinT - Information on Result #2795305

Information on Result #2795305

Linear OOA(2¹⁹², 61, F₂, 4, 91) (dual of [(61, 4), 52, 92]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2¹⁸⁸, 60, F₂, 4, 91) (dual of [(60, 4), 52, 92]-NRT-code), using

constructionÂ X applied to AG(4;F,50P) âŠ‚ AG(4;F,60P) [i] based on
1. linear OOA(2¹⁶⁰, 48, F₂, 4, 91) (dual of [(48, 4), 32, 92]-NRT-code), using algebraic-geometric NRT-code AG(4;F,50P) 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(2¹⁴⁰, 48, F₂, 4, 71) (dual of [(48, 4), 52, 72]-NRT-code), using algebraic-geometric NRT-code AG(4;F,60P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48 (see above)
3. linear OOA(2²⁸, 12, F₂, 4, 19) (dual of [(12, 4), 20, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,28P) [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.