MinT - Information on Result #2647386

Information on Result #2647386

Linear OOA(9¹¹⁵, 93, F₉, 3, 68) (dual of [(93, 3), 164, 69]-NRT-code), using strength reduction based on linear OOA(9¹¹⁵, 93, F₉, 3, 69) (dual of [(93, 3), 164, 70]-NRT-code), using

constructionÂ X applied to AG(3;F,161P) âŠ‚ AG(3;F,185P) [i] based on
1. linear OOA(9⁹¹, 77, F₉, 3, 69) (dual of [(77, 3), 140, 70]-NRT-code), using algebraic-geometric NRT-code AG(3;F,161P) [i] based on function field F/F₉ with g(F) = 22 and N(F) ≥ 78, using
  - F₃ from the tower of function fields by GarcÃa and Stichtenoth over F₉ [i]
2. linear OOA(9⁶⁷, 77, F₉, 3, 45) (dual of [(77, 3), 164, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;F,185P) [i] based on function field F/F₉ with g(F) = 22 and N(F) ≥ 78 (see above)
3. linear OOA(9²⁴, 16, F₉, 3, 23) (dual of [(16, 3), 24, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
    - a function field by GarcÃa and Quoos [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.