MinT - Information on Result #2846639

Information on Result #2846639

Linear OOA(2²³⁴, 51, F₂, 5, 156) (dual of [(51, 5), 21, 157]-NRT-code), using strength reduction based on linear OOA(2²³⁴, 51, F₂, 5, 157) (dual of [(51, 5), 21, 158]-NRT-code), using

constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,59P) [i] based on
1. linear OOA(2¹⁵⁹, 32, F₂, 5, 159) (dual of [(32, 5), 1, 160]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [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(2¹³⁹, 32, F₂, 5, 100) (dual of [(32, 5), 21, 101]-NRT-code), using algebraic-geometric NRT-code AG(5;F,59P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
3. linear OOA(2⁷⁵, 19, F₂, 5, 56) (dual of [(19, 5), 20, 57]-NRT-code), using
  - algebraic-geometric NRT-code AG(5;F,38P) [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.