MinT - Information on Result #2991421

Information on Result #2991421

Linear OOA(2²⁴¹, 59, F₂, 8, 121) (dual of [(59, 8), 231, 122]-NRT-code), using strength reduction based on linear OOA(2²⁴¹, 59, F₂, 8, 123) (dual of [(59, 8), 231, 124]-NRT-code), using

constructionÂ X applied to AG(8;F,130P) âŠ‚ AG(8;F,151P) [i] based on
1. linear OOA(2¹⁹², 48, F₂, 8, 123) (dual of [(48, 8), 192, 124]-NRT-code), using algebraic-geometric NRT-code AG(8;F,130P) 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(2¹⁵⁰, 48, F₂, 8, 81) (dual of [(48, 8), 234, 82]-NRT-code), using algebraic-geometric NRT-code AG(8;F,151P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48 (see above)
3. linear OOA(2⁴⁹, 11, F₂, 8, 41) (dual of [(11, 8), 39, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,46P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, 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.