MinT - Information on Result #2871751

Information on Result #2871751

Linear OOA(2²¹⁹, 66, F₂, 5, 95) (dual of [(66, 5), 111, 96]-NRT-code), using 2¹ times duplication based on linear OOA(2²¹⁸, 66, F₂, 5, 95) (dual of [(66, 5), 112, 96]-NRT-code), using

constructionÂ X applied to AG(5;F,72P) âŠ‚ AG(5;F,90P) [i] based on
1. linear OOA(2¹⁶⁴, 48, F₂, 5, 95) (dual of [(48, 5), 76, 96]-NRT-code), using algebraic-geometric NRT-code AG(5;F,72P) 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(2¹²⁸, 48, F₂, 5, 59) (dual of [(48, 5), 112, 60]-NRT-code), using algebraic-geometric NRT-code AG(5;F,90P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48 (see above)
3. linear OOA(2⁵⁴, 18, F₂, 5, 35) (dual of [(18, 5), 36, 36]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2⁵⁴, 19, F₂, 5, 35) (dual of [(19, 5), 41, 36]-NRT-code), using
    - algebraic-geometric NRT-code AG(5;F,59P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.