MinT - Information on Result #2474836

Information on Result #2474836

Linear OOA(5¹⁰², 56, F₅, 2, 74) (dual of [(56, 2), 10, 75]-NRT-code), using 4 step truncation based on linear OOA(5¹⁰⁶, 58, F₅, 2, 78) (dual of [(58, 2), 10, 79]-NRT-code), using

constructionÂ X applied to AG(2;F,0P) âŠ‚ AG(2;F,13P) [i] based on
1. linear OOA(5⁸³, 42, F₅, 2, 83) (dual of [(42, 2), 1, 84]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) with degPÂ =Â 2 [i] based on function field F/F₅ with g(F) = 17 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
2. linear OOA(5⁷⁴, 42, F₅, 2, 57) (dual of [(42, 2), 10, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,13P) with degPÂ =Â 2 [i] based on function field F/F₅ with g(F) = 17 and N(F) ≥ 42 (see above)
3. linear OOA(5²³, 16, F₅, 2, 20) (dual of [(16, 2), 9, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,11P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, 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.