MinT - Information on Result #2774912

Information on Result #2774912

Linear OOA(3²¹³, 62, F₃, 4, 138) (dual of [(62, 4), 35, 139]-NRT-code), using strength reduction based on linear OOA(3²¹³, 62, F₃, 4, 139) (dual of [(62, 4), 35, 140]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,60P) [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(3¹⁰⁵, 35, F₃, 4, 79) (dual of [(35, 4), 35, 80]-NRT-code), using algebraic-geometric NRT-code AG(4;F,60P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
3. linear OOA(3⁷⁴, 27, F₃, 4, 59) (dual of [(27, 4), 34, 60]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁷⁴, 28, F₃, 4, 59) (dual of [(28, 4), 38, 60]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,52P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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.