MinT - Information on Result #1848305

Information on Result #1848305

OOA(128⁶⁸, 520, S₁₂₈, 2, 43), using discarding parts of the base based on linear OOA(256⁵⁹, 520, F₂₅₆, 2, 43) (dual of [(520, 2), 981, 44]-NRT-code), using

constructionÂ X applied to AG(2;F,980P) âŠ‚ AG(2;F,989P) [i] based on
1. linear OOA(256⁵¹, 512, F₂₅₆, 2, 43) (dual of [(512, 2), 973, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,980P) [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(256⁴², 512, F₂₅₆, 2, 34) (dual of [(512, 2), 982, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,989P) [i] based on function field F/F₂₅₆ with g(F) = 8 and N(F) ≥ 513 (see above)
3. linear OOA(256⁸, 8, F₂₅₆, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(256⁸, 256, F₂₅₆, 2, 8) (dual of [(256, 2), 504, 9]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;504,256) [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.