MinT - Information on Result #2630454

Information on Result #2630454

Linear OOA(4¹⁰⁴, 40, F₄, 3, 76) (dual of [(40, 3), 16, 77]-NRT-code), using strength reduction based on linear OOA(4¹⁰⁴, 40, F₄, 3, 77) (dual of [(40, 3), 16, 78]-NRT-code), using

constructionÂ X applied to AG(3;F,0P) âŠ‚ AG(3;F,25P) [i] based on
1. linear OOA(4⁷⁷, 26, F₄, 3, 77) (dual of [(26, 3), 1, 78]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁶², 26, F₄, 3, 52) (dual of [(26, 3), 16, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,25P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27 (see above)
3. linear OOA(4²⁷, 14, F₄, 3, 24) (dual of [(14, 3), 15, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, 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.