MinT - Information on Result #2856141

Information on Result #2856141

Linear OOA(3²¹⁴, 66, F₃, 5, 116) (dual of [(66, 5), 116, 117]-NRT-code), using strength reduction based on linear OOA(3²¹⁴, 66, F₃, 5, 117) (dual of [(66, 5), 116, 118]-NRT-code), using

constructionÂ X applied to AG(5;F,117P) âŠ‚ AG(5;F,161P) [i] based on
1. linear OOA(3¹⁶², 47, F₃, 5, 117) (dual of [(47, 5), 73, 118]-NRT-code), using algebraic-geometric NRT-code AG(5;F,117P) [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(3¹¹⁸, 47, F₃, 5, 73) (dual of [(47, 5), 117, 74]-NRT-code), using algebraic-geometric NRT-code AG(5;F,161P) [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.