MinT - Information on Result #2856648

Information on Result #2856648

Linear OOA(3²²¹, 66, F₃, 5, 123) (dual of [(66, 5), 109, 124]-NRT-code), using strength reduction based on linear OOA(3²²¹, 66, F₃, 5, 124) (dual of [(66, 5), 109, 125]-NRT-code), using

constructionÂ X applied to AG(5;F,110P) âŠ‚ AG(5;F,154P) [i] based on
1. linear OOA(3¹⁶⁹, 47, F₃, 5, 124) (dual of [(47, 5), 66, 125]-NRT-code), using algebraic-geometric NRT-code AG(5;F,110P) [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(3¹²⁵, 47, F₃, 5, 80) (dual of [(47, 5), 110, 81]-NRT-code), using algebraic-geometric NRT-code AG(5;F,154P) [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.