MinT - Information on Result #2793606

Information on Result #2793606

Linear OOA(2¹⁴³, 52, F₂, 4, 65) (dual of [(52, 4), 65, 66]-NRT-code), using 2¹ times duplication based on linear OOA(2¹⁴², 52, F₂, 4, 65) (dual of [(52, 4), 66, 66]-NRT-code), using

constructionÂ X applied to AG(4;F,17P) âŠ‚ AG(4;F,20P) [i] based on
1. linear OOA(2¹¹⁹, 42, F₂, 4, 65) (dual of [(42, 4), 49, 66]-NRT-code), using algebraic-geometric NRT-code AG(4;F,17P) with degPÂ =Â 6 [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁰¹, 42, F₂, 4, 47) (dual of [(42, 4), 67, 48]-NRT-code), using algebraic-geometric NRT-code AG(4;F,20P) with degPÂ =Â 6 [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
3. linear OOA(2²³, 10, F₂, 4, 17) (dual of [(10, 4), 17, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,22P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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.