MinT - Information on Result #2839749

Information on Result #2839749

Linear OOA(2¹²³, 37, F₂, 5, 70) (dual of [(37, 5), 62, 71]-NRT-code), using strength reduction based on linear OOA(2¹²³, 37, F₂, 5, 71) (dual of [(37, 5), 62, 72]-NRT-code), using

constructionÂ X applied to AG(5;F,88P) âŠ‚ AG(5;F,101P) [i] based on
1. linear OOA(2¹¹⁰, 32, F₂, 5, 71) (dual of [(32, 5), 50, 72]-NRT-code), using algebraic-geometric NRT-code AG(5;F,88P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁹⁷, 32, F₂, 5, 58) (dual of [(32, 5), 63, 59]-NRT-code), using algebraic-geometric NRT-code AG(5;F,101P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
3. linear OOA(2¹³, 5, F₂, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,12P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.