MinT - Information on Result #2490308

Information on Result #2490308

Linear OOA(3¹⁸¹, 164, F₃, 2, 64) (dual of [(164, 2), 147, 65]-NRT-code), using 3¹ times duplication based on linear OOA(3¹⁸⁰, 164, F₃, 2, 64) (dual of [(164, 2), 148, 65]-NRT-code), using

trace code [i] based on linear OOA(9⁹⁰, 82, F₉, 2, 64) (dual of [(82, 2), 74, 65]-NRT-code), using
- constructionÂ X applied to AG(2;F,81P) âŠ‚ AG(2;F,91P) [i] based on
  1. linear OOA(9⁸¹, 73, F₉, 2, 64) (dual of [(73, 2), 65, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,81P) [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(9⁷¹, 73, F₉, 2, 54) (dual of [(73, 2), 75, 55]-NRT-code), using algebraic-geometric NRT-code AG(2;F,91P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(9⁹, 9, F₉, 2, 9) (dual of [(9, 2), 9, 10]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;9,9) [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.