MinT - Information on Result #1848132

Information on Result #1848132

OOA(128²², 323, S₁₂₈, 2, 14), using discarding parts of the base based on linear OOA(256¹⁹, 323, F₂₅₆, 2, 14) (dual of [(323, 2), 627, 15]-NRT-code), using

constructionÂ X applied to AG(2;F,625P) âŠ‚ AG(2;F,629P) [i] based on
1. linear OOA(256¹⁶, 320, F₂₅₆, 2, 14) (dual of [(320, 2), 624, 15]-NRT-code), using algebraic-geometric NRT-code AG(2;F,625P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321, using
  - sharp bound on the number of rational points on curves with genus 2 [i]
2. linear OOA(256¹², 320, F₂₅₆, 2, 10) (dual of [(320, 2), 628, 11]-NRT-code), using algebraic-geometric NRT-code AG(2;F,629P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321 (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.