MinT - Information on Result #2489256

Information on Result #2489256

Linear OOA(3¹⁵⁷, 166, F₃, 2, 51) (dual of [(166, 2), 175, 52]-NRT-code), using 3¹ times duplication based on linear OOA(3¹⁵⁶, 166, F₃, 2, 51) (dual of [(166, 2), 176, 52]-NRT-code), using

trace code [i] based on linear OOA(9⁷⁸, 83, F₉, 2, 51) (dual of [(83, 2), 88, 52]-NRT-code), using
- constructionÂ X applied to AG(2;F,94P) âŠ‚ AG(2;F,105P) [i] based on
  1. linear OOA(9⁶⁸, 73, F₉, 2, 51) (dual of [(73, 2), 78, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,94P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OOA(9⁵⁷, 73, F₉, 2, 40) (dual of [(73, 2), 89, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,105P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(9¹⁰, 10, F₉, 2, 10) (dual of [(10, 2), 10, 11]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;10,9) [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.