MinT - Information on Result #2934542

Information on Result #2934542

Linear OOA(2²⁵⁹, 84, F₂, 6, 121) (dual of [(84, 6), 245, 122]-NRT-code), using strength reduction based on linear OOA(2²⁵⁹, 84, F₂, 6, 123) (dual of [(84, 6), 245, 124]-NRT-code), using

constructionÂ X applied to AG(6;F,350P) âŠ‚ AG(6;F,365P) [i] based on
1. linear OOA(2²⁴⁴, 79, F₂, 6, 123) (dual of [(79, 6), 230, 124]-NRT-code), using algebraic-geometric NRT-code AG(6;F,350P) [i] based on function field F/F₂ with g(F) = 121 and N(F) ≥ 80, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(2²²⁹, 79, F₂, 6, 108) (dual of [(79, 6), 245, 109]-NRT-code), using algebraic-geometric NRT-code AG(6;F,365P) [i] based on function field F/F₂ with g(F) = 121 and N(F) ≥ 80 (see above)
3. linear OOA(2¹⁵, 5, F₂, 6, 14) (dual of [(5, 6), 15, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,15P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [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.