MinT - Information on Result #2884219

Information on Result #2884219

Linear OOA(2¹⁶², 50, F₂, 5, 89) (dual of [(50, 5), 88, 90]-NRT-code), using strength reduction based on linear OOA(2¹⁶², 50, F₂, 5, 90) (dual of [(50, 5), 88, 91]-NRT-code), using

constructionÂ X applied to AG(5;F,144P) âŠ‚ AG(5;F,152P) [i] based on
1. linear OOA(2¹⁵⁵, 47, F₂, 5, 90) (dual of [(47, 5), 80, 91]-NRT-code), using algebraic-geometric NRT-code AG(5;F,144P) [i] based on function field F/F₂ with g(F) = 65 and N(F) ≥ 48, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(2¹⁴⁷, 47, F₂, 5, 82) (dual of [(47, 5), 88, 83]-NRT-code), using algebraic-geometric NRT-code AG(5;F,152P) [i] based on function field F/F₂ with g(F) = 65 and N(F) ≥ 48 (see above)
3. linear OOA(2⁷, 3, F₂, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(5;8,2) [i]

Mode: 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.