MinT - Information on Result #2531813

Information on Result #2531813

Linear OOA(8¹⁷¹, 157, F₈, 2, 111) (dual of [(157, 2), 143, 112]-NRT-code), using strength reduction based on linear OOA(8¹⁷¹, 157, F₈, 2, 112) (dual of [(157, 2), 143, 113]-NRT-code), using

constructionÂ X applied to AG(2;F,173P) âŠ‚ AG(2;F,187P) [i] based on
1. linear OOA(8¹⁵⁷, 143, F₈, 2, 112) (dual of [(143, 2), 129, 113]-NRT-code), using algebraic-geometric NRT-code AG(2;F,173P) [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(8¹⁴³, 143, F₈, 2, 98) (dual of [(143, 2), 143, 99]-NRT-code), using algebraic-geometric NRT-code AG(2;F,187P) [i] based on function field F/F₈ with g(F) = 45 and N(F) ≥ 144 (see above)
3. linear OOA(8¹⁴, 14, F₈, 2, 13) (dual of [(14, 2), 14, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,14P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
    - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [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.