MinT - Information on Result #2732307

Information on Result #2732307

OOA(64⁴⁹, 323, S₆₄, 3, 30), using 64¹ times duplication based on OOA(64⁴⁸, 323, S₆₄, 3, 30), using

discarding parts of the base [i] based on linear OOA(256³⁶, 323, F₂₅₆, 3, 30) (dual of [(323, 3), 933, 31]-NRT-code), using
- constructionÂ X applied to AG(3;F,929P) âŠ‚ AG(3;F,934P) [i] based on
  1. linear OOA(256³², 320, F₂₅₆, 3, 30) (dual of [(320, 3), 928, 31]-NRT-code), using algebraic-geometric NRT-code AG(3;F,929P) [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(256²⁷, 320, F₂₅₆, 3, 25) (dual of [(320, 3), 933, 26]-NRT-code), using algebraic-geometric NRT-code AG(3;F,934P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321 (see above)
  3. linear OOA(256⁴, 3, F₂₅₆, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(256⁴, 256, F₂₅₆, 3, 4) (dual of [(256, 3), 764, 5]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(3;764,256) [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.