MinT - Information on Result #2886383

Information on Result #2886383

Linear OOA(2²⁴⁹, 74, F₂, 5, 131) (dual of [(74, 5), 121, 132]-NRT-code), using strength reduction based on linear OOA(2²⁴⁹, 74, F₂, 5, 132) (dual of [(74, 5), 121, 133]-NRT-code), using

constructionÂ X applied to AG(5;F,222P) âŠ‚ AG(5;F,230P) [i] based on
1. linear OOA(2²⁴², 71, F₂, 5, 132) (dual of [(71, 5), 113, 133]-NRT-code), using algebraic-geometric NRT-code AG(5;F,222P) [i] based on function field F/F₂ with g(F) = 110 and N(F) ≥ 72, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(2²³⁴, 71, F₂, 5, 124) (dual of [(71, 5), 121, 125]-NRT-code), using algebraic-geometric NRT-code AG(5;F,230P) [i] based on function field F/F₂ with g(F) = 110 and N(F) ≥ 72 (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.