MinT - Information on Result #1848091

Information on Result #1848091

OOA(64³², 324, S₆₄, 2, 18), using discarding parts of the base based on linear OOA(256²⁴, 324, F₂₅₆, 2, 18) (dual of [(324, 2), 624, 19]-NRT-code), using

constructionÂ X applied to AG(2;F,621P) âŠ‚ AG(2;F,626P) [i] based on
1. linear OOA(256²⁰, 320, F₂₅₆, 2, 18) (dual of [(320, 2), 620, 19]-NRT-code), using algebraic-geometric NRT-code AG(2;F,621P) [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(256¹⁵, 320, F₂₅₆, 2, 13) (dual of [(320, 2), 625, 14]-NRT-code), using algebraic-geometric NRT-code AG(2;F,626P) [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.