MinT - Information on Result #2621896

Information on Result #2621896

Linear OOA(3¹¹⁷, 54, F₃, 3, 60) (dual of [(54, 3), 45, 61]-NRT-code), using strength reduction based on linear OOA(3¹¹⁷, 54, F₃, 3, 61) (dual of [(54, 3), 45, 62]-NRT-code), using

constructionÂ X applied to AG(3;F,79P) âŠ‚ AG(3;F,90P) [i] based on
1. linear OOA(3¹⁰⁶, 47, F₃, 3, 61) (dual of [(47, 3), 35, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,79P) [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(3⁹⁵, 47, F₃, 3, 50) (dual of [(47, 3), 46, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,90P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3¹¹, 7, F₃, 3, 10) (dual of [(7, 3), 10, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,10P) [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.