MinT - Information on Result #2544164

Information on Result #2544164

OOA(64⁴¹, 324, S₆₄, 2, 24), using 64¹ times duplication based on OOA(64⁴⁰, 324, S₆₄, 2, 24), using

discarding parts of the base [i] based on linear OOA(256³⁰, 324, F₂₅₆, 2, 24) (dual of [(324, 2), 618, 25]-NRT-code), using
- constructionÂ X applied to AG(2;F,615P) âŠ‚ AG(2;F,620P) [i] based on
  1. linear OOA(256²⁶, 320, F₂₅₆, 2, 24) (dual of [(320, 2), 614, 25]-NRT-code), using algebraic-geometric NRT-code AG(2;F,615P) [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(256²¹, 320, F₂₅₆, 2, 19) (dual of [(320, 2), 619, 20]-NRT-code), using algebraic-geometric NRT-code AG(2;F,620P) [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.