MinT - Information on Result #2773044

Information on Result #2773044

Linear OOA(3¹⁸³, 61, F₃, 4, 106) (dual of [(61, 4), 61, 107]-NRT-code), using strength reduction based on linear OOA(3¹⁸³, 61, F₃, 4, 107) (dual of [(61, 4), 61, 108]-NRT-code), using

constructionÂ X applied to AG(4;F,80P) âŠ‚ AG(4;F,106P) [i] based on
1. linear OOA(3¹⁵², 47, F₃, 4, 107) (dual of [(47, 4), 36, 108]-NRT-code), using algebraic-geometric NRT-code AG(4;F,80P) [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(3¹²⁶, 47, F₃, 4, 81) (dual of [(47, 4), 62, 82]-NRT-code), using algebraic-geometric NRT-code AG(4;F,106P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3³¹, 14, F₃, 4, 25) (dual of [(14, 4), 25, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,30P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, 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.