MinT - Information on Result #1848136

Information on Result #1848136

OOA(128²⁴, 324, S₁₂₈, 2, 15), using discarding parts of the base based on linear OOA(256²¹, 324, F₂₅₆, 2, 15) (dual of [(324, 2), 627, 16]-NRT-code), using

constructionÂ X applied to AG(2;F,624P) âŠ‚ AG(2;F,629P) [i] based on
1. linear OOA(256¹⁷, 320, F₂₅₆, 2, 15) (dual of [(320, 2), 623, 16]-NRT-code), using algebraic-geometric NRT-code AG(2;F,624P) [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(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.