MinT - Information on Result #2809296

Information on Result #2809296

Linear OOA(2¹⁵⁵, 50, F₂, 4, 83) (dual of [(50, 4), 45, 84]-NRT-code), using strength reduction based on linear OOA(2¹⁵⁵, 50, F₂, 4, 84) (dual of [(50, 4), 45, 85]-NRT-code), using

constructionÂ X applied to AG(4;F,103P) âŠ‚ AG(4;F,110P) [i] based on
1. linear OOA(2¹⁴⁹, 47, F₂, 4, 84) (dual of [(47, 4), 39, 85]-NRT-code), using algebraic-geometric NRT-code AG(4;F,103P) [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(2¹⁴², 47, F₂, 4, 77) (dual of [(47, 4), 46, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,110P) [i] based on function field F/F₂ with g(F) = 65 and N(F) ≥ 48 (see above)
3. linear OOA(2⁶, 3, F₂, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;6,2) [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.