MinT - Information on Result #1063503

Information on Result #1063503

Linear OOA(3¹⁵⁴, 83, F₃, 4, 50) (dual of [(83, 4), 178, 51]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁵⁴, 166, F₃, 2, 50) (dual of [(166, 2), 178, 51]-NRT-code), using

trace code [i] based on linear OOA(9⁷⁷, 83, F₉, 2, 50) (dual of [(83, 2), 89, 51]-NRT-code), using
- constructionÂ X applied to AG(2;F,95P) âŠ‚ AG(2;F,106P) [i] based on
  1. linear OOA(9⁶⁷, 73, F₉, 2, 50) (dual of [(73, 2), 79, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,95P) [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(9⁵⁶, 73, F₉, 2, 39) (dual of [(73, 2), 90, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,106P) [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.