MinT - Information on Result #980885

Information on Result #980885

Linear OOA(8⁷³, 45, F₈, 3, 37) (dual of [(45, 3), 62, 38]-NRT-code), using OOA 2-folding based on linear OOA(8⁷³, 90, F₈, 2, 37) (dual of [(90, 2), 107, 38]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8²⁷, 45, F₈, 2, 18) (dual of [(45, 2), 63, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,71P) [i] based on function field F/F₈ with g(F) = 9 and N(F) ≥ 45, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(8⁴⁶, 45, F₈, 2, 37) (dual of [(45, 2), 44, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,52P) [i] based on function field F/F₈ with g(F) = 9 and N(F) ≥ 45 (see above)

Mode: Constructive and 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.