MinT - Information on Result #1567462

Information on Result #1567462

Linear OOA(256⁴⁶, 642, F₂₅₆, 3, 28) (dual of [(642, 3), 1880, 29]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256⁴⁶, 642, F₂₅₆, 2, 28) (dual of [(642, 2), 1238, 29]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256¹⁶, 321, F₂₅₆, 2, 14) (dual of [(321, 2), 626, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,627P) [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(256³⁰, 321, F₂₅₆, 2, 28) (dual of [(321, 2), 612, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,613P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321 (see above)

Mode: Linear.

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.