MinT - Information on Result #2645954

Information on Result #2645954

Linear OOA(8¹⁶⁵, 104, F₈, 3, 117) (dual of [(104, 3), 147, 118]-NRT-code), using strength reduction based on linear OOA(8¹⁶⁵, 104, F₈, 3, 118) (dual of [(104, 3), 147, 119]-NRT-code), using

constructionÂ X applied to AG(3;F,172P) âŠ‚ AG(3;F,183P) [i] based on
1. linear OOA(8¹⁵⁵, 97, F₈, 3, 118) (dual of [(97, 3), 136, 119]-NRT-code), using algebraic-geometric NRT-code AG(3;F,172P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98, using
  - F₅ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
2. linear OOA(8¹⁴⁴, 97, F₈, 3, 107) (dual of [(97, 3), 147, 108]-NRT-code), using algebraic-geometric NRT-code AG(3;F,183P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98 (see above)
3. linear OOA(8¹⁰, 7, F₈, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8¹⁰, 8, F₈, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;14,8) [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.