MinT - Information on Result #2648710

Information on Result #2648710

Linear OOA(64⁵⁹, 185, F₆₄, 3, 38) (dual of [(185, 3), 496, 39]-NRT-code), using strength reduction based on linear OOA(64⁵⁹, 185, F₆₄, 3, 39) (dual of [(185, 3), 496, 40]-NRT-code), using

constructionÂ X applied to AG(3;F,488P) âŠ‚ AG(3;F,502P) [i] based on
1. linear OOA(64⁴⁶, 176, F₆₄, 3, 39) (dual of [(176, 3), 482, 40]-NRT-code), using algebraic-geometric NRT-code AG(3;F,488P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
  - a function field by GarcÃa and Quoos [i]
2. linear OOA(64³², 176, F₆₄, 3, 25) (dual of [(176, 3), 496, 26]-NRT-code), using algebraic-geometric NRT-code AG(3;F,502P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
3. linear OOA(64¹³, 9, F₆₄, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64¹³, 64, F₆₄, 3, 13) (dual of [(64, 3), 179, 14]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;179,64) [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.