MinT - Information on Result #2775574

Information on Result #2775574

Linear OOA(3²²², 67, F₃, 4, 130) (dual of [(67, 4), 46, 131]-NRT-code), using strength reduction based on linear OOA(3²²², 67, F₃, 4, 131) (dual of [(67, 4), 46, 132]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,71P) [i] based on
1. linear OOA(3¹³⁹, 35, F₃, 4, 139) (dual of [(35, 4), 1, 140]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁹⁴, 35, F₃, 4, 68) (dual of [(35, 4), 46, 69]-NRT-code), using algebraic-geometric NRT-code AG(4;F,71P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
3. linear OOA(3⁸³, 32, F₃, 4, 62) (dual of [(32, 4), 45, 63]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,65P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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.