MinT - Information on Result #2890897

Information on Result #2890897

Linear OOA(3²²⁰, 68, F₃, 5, 157) (dual of [(68, 5), 120, 158]-NRT-code), using strength reduction based on linear OOA(3²²⁰, 68, F₃, 5, 158) (dual of [(68, 5), 120, 159]-NRT-code), using

constructionÂ X applied to AG(5;F,156P) âŠ‚ AG(5;F,169P) [i] based on
1. linear OOA(3²⁰⁷, 63, F₃, 5, 158) (dual of [(63, 5), 108, 159]-NRT-code), using algebraic-geometric NRT-code AG(5;F,156P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64, using
  - a curve from the manYPoints database [i]
2. linear OOA(3¹⁹⁴, 63, F₃, 5, 145) (dual of [(63, 5), 121, 146]-NRT-code), using algebraic-geometric NRT-code AG(5;F,169P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
3. linear OOA(3¹³, 5, F₃, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹³, 7, F₃, 5, 12) (dual of [(7, 5), 22, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,22P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]

Mode: 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.