MinT - Information on Result #2855580

Information on Result #2855580

Linear OOA(3²⁰⁶, 58, F₃, 5, 130) (dual of [(58, 5), 84, 131]-NRT-code), using strength reduction based on linear OOA(3²⁰⁶, 58, F₃, 5, 132) (dual of [(58, 5), 84, 133]-NRT-code), using

constructionÂ X applied to AG(5;F,102P) âŠ‚ AG(5;F,128P) [i] based on
1. linear OOA(3¹⁷⁷, 47, F₃, 5, 132) (dual of [(47, 5), 58, 133]-NRT-code), using algebraic-geometric NRT-code AG(5;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(3¹⁵¹, 47, F₃, 5, 106) (dual of [(47, 5), 84, 107]-NRT-code), using algebraic-geometric NRT-code AG(5;F,128P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3²⁹, 11, F₃, 5, 25) (dual of [(11, 5), 26, 26]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3²⁹, 12, F₃, 5, 25) (dual of [(12, 5), 31, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,34P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.