MinT - Information on Result #2609933

Information on Result #2609933

Linear OOA(2⁴⁸, 22, F₂, 3, 24) (dual of [(22, 3), 18, 25]-NRT-code), using strength reduction based on linear OOA(2⁴⁸, 22, F₂, 3, 25) (dual of [(22, 3), 18, 26]-NRT-code), using

constructionÂ X applied to AG(3;F,31P) âŠ‚ AG(3;F,36P) [i] based on
1. linear OOA(2⁴⁴, 19, F₂, 3, 25) (dual of [(19, 3), 13, 26]-NRT-code), using algebraic-geometric NRT-code AG(3;F,31P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2³⁹, 19, F₂, 3, 20) (dual of [(19, 3), 18, 21]-NRT-code), using algebraic-geometric NRT-code AG(3;F,36P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20 (see above)
3. linear OOA(2⁴, 3, F₂, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;5,2) [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.