MinT - Information on Result #2528389

Information on Result #2528389

OOA(64⁵⁷, 293, S₆₄, 2, 33), using 64¹ times duplication based on OOA(64⁵⁶, 293, S₆₄, 2, 33), using

discarding parts of the base [i] based on linear OOA(128⁴⁸, 293, F₁₂₈, 2, 33) (dual of [(293, 2), 538, 34]-NRT-code), using
- constructionÂ X applied to AG(2;F,540P) âŠ‚ AG(2;F,547P) [i] based on
  1. linear OOA(128⁴², 287, F₁₂₈, 2, 33) (dual of [(287, 2), 532, 34]-NRT-code), using algebraic-geometric NRT-code AG(2;F,540P) [i] based on function field F/F₁₂₈ with g(F) = 9 and N(F) ≥ 288, using
    - a function field by SÃ©mirat [i]
  2. linear OOA(128³⁵, 287, F₁₂₈, 2, 26) (dual of [(287, 2), 539, 27]-NRT-code), using algebraic-geometric NRT-code AG(2;F,547P) [i] based on function field F/F₁₂₈ with g(F) = 9 and N(F) ≥ 288 (see above)
  3. linear OOA(128⁶, 6, F₁₂₈, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(128⁶, 128, F₁₂₈, 2, 6) (dual of [(128, 2), 250, 7]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;250,128) [i]

Mode: Constructive.

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.