MinT - Information on Result #2771980

Information on Result #2771980

Linear OOA(3¹⁶⁵, 63, F₃, 4, 84) (dual of [(63, 4), 87, 85]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁵, 63, F₃, 4, 85) (dual of [(63, 4), 87, 86]-NRT-code), using

constructionÂ X applied to AG(4;F,102P) âŠ‚ AG(4;F,131P) [i] based on
1. linear OOA(3¹³⁰, 47, F₃, 4, 85) (dual of [(47, 4), 58, 86]-NRT-code), using algebraic-geometric NRT-code AG(4;F,102P) [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(3¹⁰¹, 47, F₃, 4, 56) (dual of [(47, 4), 87, 57]-NRT-code), using algebraic-geometric NRT-code AG(4;F,131P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3³⁵, 16, F₃, 4, 28) (dual of [(16, 4), 29, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,35P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, 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.