MinT - Information on Result #2641645

Information on Result #2641645

Linear OOA(5¹⁴⁵, 94, F₅, 3, 79) (dual of [(94, 3), 137, 80]-NRT-code), using strength reduction based on linear OOA(5¹⁴⁵, 94, F₅, 3, 80) (dual of [(94, 3), 137, 81]-NRT-code), using

constructionÂ X applied to AG(3;F,150P) âŠ‚ AG(3;F,174P) [i] based on
1. linear OOA(5¹¹⁸, 77, F₅, 3, 80) (dual of [(77, 3), 113, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,150P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁹⁴, 77, F₅, 3, 56) (dual of [(77, 3), 137, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,174P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5²⁷, 17, F₅, 3, 23) (dual of [(17, 3), 24, 24]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(5²⁷, 18, F₅, 3, 23) (dual of [(18, 3), 27, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,30P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, 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.