MinT - Information on Result #2544404

Information on Result #2544404

OOA(128⁵⁰, 516, S₁₂₈, 2, 31), using 1 times NRT-code embedding in larger space based on OOA(128⁴⁸, 515, S₁₂₈, 2, 31), using

discarding parts of the base [i] based on linear OOA(256⁴², 515, F₂₅₆, 2, 31) (dual of [(515, 2), 988, 32]-NRT-code), using
- constructionÂ X applied to AG(2;F,992P) âŠ‚ AG(2;F,996P) [i] based on
  1. linear OOA(256³⁹, 512, F₂₅₆, 2, 31) (dual of [(512, 2), 985, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,992P) [i] based on function field F/F₂₅₆ with g(F) = 8 and N(F) ≥ 513, using
    - K_1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₂₅₆ [i]
  2. linear OOA(256³⁵, 512, F₂₅₆, 2, 27) (dual of [(512, 2), 989, 28]-NRT-code), using algebraic-geometric NRT-code AG(2;F,996P) [i] based on function field F/F₂₅₆ with g(F) = 8 and N(F) ≥ 513 (see above)
  3. linear OOA(256³, 3, F₂₅₆, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(256³, 256, F₂₅₆, 2, 3) (dual of [(256, 2), 509, 4]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;509,256) [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.