MinT - Information on Result #1063858

Information on Result #1063858

Linear OOA(3¹⁵², 77, F₃, 4, 55) (dual of [(77, 4), 156, 56]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁵², 154, F₃, 2, 55) (dual of [(154, 2), 156, 56]-NRT-code), using

trace code [i] based on linear OOA(9⁷⁶, 77, F₉, 2, 55) (dual of [(77, 2), 78, 56]-NRT-code), using
- constructionÂ X applied to AG(2;F,90P) âŠ‚ AG(2;F,95P) [i] based on
  1. linear OOA(9⁷², 73, F₉, 2, 55) (dual of [(73, 2), 74, 56]-NRT-code), using algebraic-geometric NRT-code AG(2;F,90P) [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(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 (see above)
  3. linear OOA(9⁴, 4, F₉, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁴, 9, F₉, 2, 4) (dual of [(9, 2), 14, 5]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;14,9) [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.