MinT - Information on Result #2720945

Information on Result #2720945

Linear OOA(8¹³⁷, 152, F₈, 3, 78) (dual of [(152, 3), 319, 79]-NRT-code), using strength reduction based on linear OOA(8¹³⁷, 152, F₈, 3, 79) (dual of [(152, 3), 319, 80]-NRT-code), using

constructionÂ X applied to AG(3;F,349P) âŠ‚ AG(3;F,363P) [i] based on
1. linear OOA(8¹²⁴, 143, F₈, 3, 79) (dual of [(143, 3), 305, 80]-NRT-code), using algebraic-geometric NRT-code AG(3;F,349P) [i] based on function field F/F₈ with g(F) = 45 and N(F) ≥ 144, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(8¹¹⁰, 143, F₈, 3, 65) (dual of [(143, 3), 319, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;F,363P) [i] based on function field F/F₈ with g(F) = 45 and N(F) ≥ 144 (see above)
3. linear OOA(8¹³, 9, F₈, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;14,8) [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.