MinT - Information on Result #1134799

Information on Result #1134799

Linear OOA(2²⁵², 105, F₂, 6, 61) (dual of [(105, 6), 378, 62]-NRT-code), using OOA 2-folding based on linear OOA(2²⁵², 210, F₂, 3, 61) (dual of [(210, 3), 378, 62]-NRT-code), using

trace code [i] based on linear OOA(8⁸⁴, 70, F₈, 3, 61) (dual of [(70, 3), 126, 62]-NRT-code), using
- constructionÂ X applied to AG(3;F,130P) âŠ‚ AG(3;F,140P) [i] based on
  1. linear OOA(8⁷⁵, 64, F₈, 3, 61) (dual of [(64, 3), 117, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,130P) [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(8⁶⁵, 64, F₈, 3, 51) (dual of [(64, 3), 127, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,140P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65 (see above)
  3. linear OOA(8⁹, 6, F₈, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(8⁹, 8, F₈, 3, 9) (dual of [(8, 3), 15, 10]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(3;15,8) [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.