MinT - Information on Result #2806230

Information on Result #2806230

Linear OOA(3²²¹, 65, F₃, 4, 138) (dual of [(65, 4), 39, 139]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3²¹⁷, 64, F₃, 4, 138) (dual of [(64, 4), 39, 139]-NRT-code), using

strength reduction [i] based on linear OOA(3²¹⁷, 64, F₃, 4, 139) (dual of [(64, 4), 39, 140]-NRT-code), using
- constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,32P) [i] based on
  1. linear OOA(3¹⁴³, 36, F₃, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) with degPÂ =Â 2 [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, 36, F₃, 4, 79) (dual of [(36, 4), 39, 80]-NRT-code), using algebraic-geometric NRT-code AG(4;F,32P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
  3. 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.