MinT - Information on Result #1563640

Information on Result #1563640

Linear OOA(49³¹, 142, F₄₉, 3, 19) (dual of [(142, 3), 395, 20]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(49³¹, 142, F₄₉, 2, 19) (dual of [(142, 2), 253, 20]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(49¹⁰, 64, F₄₉, 2, 9) (dual of [(64, 2), 118, 10]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,118P) [i] based on function field F/F₄₉ with g(F) = 1 and N(F) ≥ 64, using
    - sharp bound on the number of rational points on curves with genus 1 [i]
2. linear OOA(49²¹, 78, F₄₉, 2, 19) (dual of [(78, 2), 135, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,136P) [i] based on function field F/F₄₉ with g(F) = 2 and N(F) ≥ 78, using
    - sharp bound on the number of rational points on curves with genus 2 [i]

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.