MinT - Information on Result #2643921

Information on Result #2643921

Linear OOA(8¹⁰², 71, F₈, 3, 77) (dual of [(71, 3), 111, 78]-NRT-code), using strength reduction based on linear OOA(8¹⁰², 71, F₈, 3, 78) (dual of [(71, 3), 111, 79]-NRT-code), using

constructionÂ X applied to AG(3;F,113P) âŠ‚ AG(3;F,124P) [i] based on
1. linear OOA(8⁹², 64, F₈, 3, 78) (dual of [(64, 3), 100, 79]-NRT-code), using algebraic-geometric NRT-code AG(3;F,113P) [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(8⁸¹, 64, F₈, 3, 67) (dual of [(64, 3), 111, 68]-NRT-code), using algebraic-geometric NRT-code AG(3;F,124P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65 (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.