MinT - Information on Result #1848308

Information on Result #1848308

OOA(128⁶⁸, 517, S₁₂₈, 2, 46), using discarding parts of the base based on linear OOA(256⁵⁹, 517, F₂₅₆, 2, 46) (dual of [(517, 2), 975, 47]-NRT-code), using

constructionÂ X applied to AG(2;F,977P) âŠ‚ AG(2;F,983P) [i] based on
1. linear OOA(256⁵⁴, 512, F₂₅₆, 2, 46) (dual of [(512, 2), 970, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,977P) [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(256⁴⁸, 512, F₂₅₆, 2, 40) (dual of [(512, 2), 976, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,983P) [i] based on function field F/F₂₅₆ with g(F) = 8 and N(F) ≥ 513 (see above)
3. linear OOA(256⁵, 5, F₂₅₆, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(256⁵, 256, F₂₅₆, 2, 5) (dual of [(256, 2), 507, 6]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;507,256) [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.