MinT - Information on Result #2641406

Information on Result #2641406

Linear OOA(5¹³⁹, 97, F₅, 3, 68) (dual of [(97, 3), 152, 69]-NRT-code), using strength reduction based on linear OOA(5¹³⁹, 97, F₅, 3, 69) (dual of [(97, 3), 152, 70]-NRT-code), using

constructionÂ X applied to AG(3;F,161P) âŠ‚ AG(3;F,189P) [i] based on
1. linear OOA(5¹⁰⁷, 77, F₅, 3, 69) (dual of [(77, 3), 124, 70]-NRT-code), using algebraic-geometric NRT-code AG(3;F,161P) [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(5⁷⁹, 77, F₅, 3, 41) (dual of [(77, 3), 152, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,189P) [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.