MinT - Information on Result #2770741

Information on Result #2770741

Linear OOA(3¹⁴⁰, 39, F₃, 4, 106) (dual of [(39, 4), 16, 107]-NRT-code), using strength reduction based on linear OOA(3¹⁴⁰, 39, F₃, 4, 107) (dual of [(39, 4), 16, 108]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,30P) [i] based on
1. linear OOA(3¹⁰⁷, 27, F₃, 4, 107) (dual of [(27, 4), 1, 108]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁹², 27, F₃, 4, 77) (dual of [(27, 4), 16, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,30P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3³³, 12, F₃, 4, 29) (dual of [(12, 4), 15, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.