MinT - Information on Result #2671820

Information on Result #2671820

Linear OOA(2²⁵⁹, 207, F₂, 3, 65) (dual of [(207, 3), 362, 66]-NRT-code), using 2¹ times duplication based on linear OOA(2²⁵⁸, 207, F₂, 3, 65) (dual of [(207, 3), 363, 66]-NRT-code), using

trace code [i] based on linear OOA(8⁸⁶, 69, F₈, 3, 65) (dual of [(69, 3), 121, 66]-NRT-code), using
- constructionÂ X applied to AG(3;F,126P) âŠ‚ AG(3;F,134P) [i] based on
  1. linear OOA(8⁷⁹, 64, F₈, 3, 65) (dual of [(64, 3), 113, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;F,126P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [i]
  2. linear OOA(8⁷¹, 64, F₈, 3, 57) (dual of [(64, 3), 121, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,134P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65 (see above)
  3. linear OOA(8⁷, 5, F₈, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(8⁷, 8, F₈, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(3;17,8) [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.