MinT - Information on Result #2771678

Information on Result #2771678

Linear OOA(3¹⁵⁹, 61, F₃, 4, 82) (dual of [(61, 4), 85, 83]-NRT-code), using strength reduction based on linear OOA(3¹⁵⁹, 61, F₃, 4, 83) (dual of [(61, 4), 85, 84]-NRT-code), using

constructionÂ X applied to AG(4;F,104P) âŠ‚ AG(4;F,130P) [i] based on
1. linear OOA(3¹²⁸, 47, F₃, 4, 83) (dual of [(47, 4), 60, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,104P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰², 47, F₃, 4, 57) (dual of [(47, 4), 86, 58]-NRT-code), using algebraic-geometric NRT-code AG(4;F,130P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3³¹, 14, F₃, 4, 25) (dual of [(14, 4), 25, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,30P) [i] based on function field F/F₃ with g(F) = 6 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.