MinT - Information on Result #2772664

Information on Result #2772664

Linear OOA(3¹⁷⁷, 54, F₃, 4, 117) (dual of [(54, 4), 39, 118]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁷, 54, F₃, 4, 118) (dual of [(54, 4), 39, 119]-NRT-code), using

constructionÂ X applied to AG(4;F,69P) âŠ‚ AG(4;F,83P) [i] based on
1. linear OOA(3¹⁶³, 47, F₃, 4, 118) (dual of [(47, 4), 25, 119]-NRT-code), using algebraic-geometric NRT-code AG(4;F,69P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁴⁹, 47, F₃, 4, 104) (dual of [(47, 4), 39, 105]-NRT-code), using algebraic-geometric NRT-code AG(4;F,83P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3¹⁴, 7, F₃, 4, 13) (dual of [(7, 4), 14, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,14P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]

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.