MinT - Information on Result #2527883

Information on Result #2527883

OOA(32⁹⁶, 293, S₃₂, 2, 53), using 1 times NRT-code embedding in larger space based on OOA(32⁹⁴, 292, S₃₂, 2, 53), using

discarding parts of the base [i] based on linear OOA(128⁶⁷, 292, F₁₂₈, 2, 53) (dual of [(292, 2), 517, 54]-NRT-code), using
- constructionÂ X applied to AG(2;F,520P) âŠ‚ AG(2;F,526P) [i] based on
  1. linear OOA(128⁶², 287, F₁₂₈, 2, 53) (dual of [(287, 2), 512, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,520P) [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(128⁵⁶, 287, F₁₂₈, 2, 47) (dual of [(287, 2), 518, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,526P) [i] based on function field F/F₁₂₈ with g(F) = 9 and N(F) ≥ 288 (see above)
  3. linear OOA(128⁵, 5, F₁₂₈, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(128⁵, 128, F₁₂₈, 2, 5) (dual of [(128, 2), 251, 6]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;251,128) [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.