MinT - Information on Result #974454

Information on Result #974454

Linear OOA(5⁹⁷, 43, F₅, 3, 50) (dual of [(43, 3), 32, 51]-NRT-code), using OOA 2-folding based on linear OOA(5⁹⁷, 86, F₅, 2, 50) (dual of [(86, 2), 75, 51]-NRT-code), using

constructionÂ X applied to AG(2;F,91P) âŠ‚ AG(2;F,105P) [i] based on
1. linear OOA(5⁸¹, 71, F₅, 2, 50) (dual of [(71, 2), 61, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,91P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁶⁷, 71, F₅, 2, 36) (dual of [(71, 2), 75, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,105P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72 (see above)
3. linear OOA(5¹⁶, 15, F₅, 2, 13) (dual of [(15, 2), 14, 14]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(5¹⁶, 16, F₅, 2, 13) (dual of [(16, 2), 16, 14]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,18P) [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.