MinT - Information on Result #1848203

Information on Result #1848203

OOA(128⁴⁷, 516, S₁₂₈, 2, 29), using discarding parts of the base based on linear OOA(256⁴¹, 516, F₂₅₆, 2, 29) (dual of [(516, 2), 991, 30]-NRT-code), using

constructionÂ X applied to AG(2;F,994P) âŠ‚ AG(2;F,999P) [i] based on
1. linear OOA(256³⁷, 512, F₂₅₆, 2, 29) (dual of [(512, 2), 987, 30]-NRT-code), using algebraic-geometric NRT-code AG(2;F,994P) [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(256³², 512, F₂₅₆, 2, 24) (dual of [(512, 2), 992, 25]-NRT-code), using algebraic-geometric NRT-code AG(2;F,999P) [i] based on function field F/F₂₅₆ with g(F) = 8 and N(F) ≥ 513 (see above)
3. linear OOA(256⁴, 4, F₂₅₆, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(256⁴, 256, F₂₅₆, 2, 4) (dual of [(256, 2), 508, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;508,256) [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.