MinT - Information on Result #2629486

Information on Result #2629486

Linear OOA(4⁵⁷, 37, F₄, 3, 34) (dual of [(37, 3), 54, 35]-NRT-code), using strength reduction based on linear OOA(4⁵⁷, 37, F₄, 3, 35) (dual of [(37, 3), 54, 36]-NRT-code), using

constructionÂ X applied to AG(3;F,60P) âŠ‚ AG(3;F,68P) [i] based on
1. linear OOA(4⁵⁰, 32, F₄, 3, 35) (dual of [(32, 3), 46, 36]-NRT-code), using algebraic-geometric NRT-code AG(3;F,60P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁴², 32, F₄, 3, 27) (dual of [(32, 3), 54, 28]-NRT-code), using algebraic-geometric NRT-code AG(3;F,68P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33 (see above)
3. linear OOA(4⁷, 5, F₄, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;8,4) [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.