MinT - Information on Result #2846425

Information on Result #2846425

Linear OOA(2²³¹, 65, F₂, 5, 111) (dual of [(65, 5), 94, 112]-NRT-code), using strength reduction based on linear OOA(2²³¹, 65, F₂, 5, 112) (dual of [(65, 5), 94, 113]-NRT-code), using

constructionÂ X applied to AG(5;F,63P) âŠ‚ AG(5;F,81P) [i] based on
1. linear OOA(2¹⁸², 48, F₂, 5, 113) (dual of [(48, 5), 58, 114]-NRT-code), using algebraic-geometric NRT-code AG(5;F,63P) 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(2¹⁴⁶, 48, F₂, 5, 77) (dual of [(48, 5), 94, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,81P) 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, 17, F₂, 5, 34) (dual of [(17, 5), 36, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,50P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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.