MinT - Information on Result #2856412

Information on Result #2856412

Linear OOA(3²¹⁸, 66, F₃, 5, 120) (dual of [(66, 5), 112, 121]-NRT-code), using strength reduction based on linear OOA(3²¹⁸, 66, F₃, 5, 121) (dual of [(66, 5), 112, 122]-NRT-code), using

constructionÂ X applied to AG(5;F,113P) âŠ‚ AG(5;F,157P) [i] based on
1. linear OOA(3¹⁶⁶, 47, F₃, 5, 121) (dual of [(47, 5), 69, 122]-NRT-code), using algebraic-geometric NRT-code AG(5;F,113P) [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(3¹²², 47, F₃, 5, 77) (dual of [(47, 5), 113, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,157P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁵², 19, F₃, 5, 43) (dual of [(19, 5), 43, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,51P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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.