MinT - Information on Result #1848042

Information on Result #1848042

OOA(32¹⁰⁷, 344, S₃₂, 2, 66), using discarding parts of the base based on linear OOA(64⁸⁹, 344, F₆₄, 2, 66) (dual of [(344, 2), 599, 67]-NRT-code), using

constructionÂ X applied to AG(2;F,615P) âŠ‚ AG(2;F,619P) [i] based on
1. linear OOA(64⁸⁶, 341, F₆₄, 2, 66) (dual of [(341, 2), 596, 67]-NRT-code), using algebraic-geometric NRT-code AG(2;F,615P) [i] based on function field F/F₆₄ with g(F) = 20 and N(F) ≥ 342, using
  - a curve from the manYPoints database [i]
2. linear OOA(64⁸², 341, F₆₄, 2, 62) (dual of [(341, 2), 600, 63]-NRT-code), using algebraic-geometric NRT-code AG(2;F,619P) [i] based on function field F/F₆₄ with g(F) = 20 and N(F) ≥ 342 (see above)
3. linear OOA(64³, 3, F₆₄, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64³, 64, F₆₄, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;125,64) [i]

Mode: Arbitrary.

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.