MinT - Information on Result #2641498

Information on Result #2641498

Linear OOA(5¹⁴¹, 97, F₅, 3, 70) (dual of [(97, 3), 150, 71]-NRT-code), using strength reduction based on linear OOA(5¹⁴¹, 97, F₅, 3, 71) (dual of [(97, 3), 150, 72]-NRT-code), using

constructionÂ X applied to AG(3;F,159P) âŠ‚ AG(3;F,187P) [i] based on
1. linear OOA(5¹⁰⁹, 77, F₅, 3, 71) (dual of [(77, 3), 122, 72]-NRT-code), using algebraic-geometric NRT-code AG(3;F,159P) [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(5⁸¹, 77, F₅, 3, 43) (dual of [(77, 3), 150, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,187P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5³², 20, F₅, 3, 27) (dual of [(20, 3), 28, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,32P) [i] based on function field F/F₅ with g(F) = 5 and N(F) ≥ 20, 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.