MinT - Information on Result #2505784

Information on Result #2505784

Linear OOA(5¹³³, 98, F₅, 2, 71) (dual of [(98, 2), 63, 72]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(5¹³¹, 97, F₅, 2, 71) (dual of [(97, 2), 63, 72]-NRT-code), using

constructionÂ X applied to AG(2;F,82P) âŠ‚ AG(2;F,100P) [i] based on
1. linear OOA(5¹⁰⁹, 77, F₅, 2, 71) (dual of [(77, 2), 45, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,82P) [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(5⁹¹, 77, F₅, 2, 53) (dual of [(77, 2), 63, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,100P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5²², 20, F₅, 2, 17) (dual of [(20, 2), 18, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,22P) [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.