MinT - Information on Result #2622148

Information on Result #2622148

Linear OOA(3¹²⁴, 55, F₃, 3, 65) (dual of [(55, 3), 41, 66]-NRT-code), using strength reduction based on linear OOA(3¹²⁴, 55, F₃, 3, 66) (dual of [(55, 3), 41, 67]-NRT-code), using

constructionÂ X applied to AG(3;F,74P) âŠ‚ AG(3;F,86P) [i] based on
1. linear OOA(3¹¹¹, 47, F₃, 3, 66) (dual of [(47, 3), 30, 67]-NRT-code), using algebraic-geometric NRT-code AG(3;F,74P) [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(3⁹⁹, 47, F₃, 3, 54) (dual of [(47, 3), 42, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,86P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3¹³, 8, F₃, 3, 11) (dual of [(8, 3), 11, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, 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.