MinT - Information on Result #1563584

Information on Result #1563584

Linear OOA(49²⁶, 128, F₄₉, 3, 16) (dual of [(128, 3), 358, 17]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(49²⁶, 128, F₄₉, 2, 16) (dual of [(128, 2), 230, 17]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(49⁹, 64, F₄₉, 2, 8) (dual of [(64, 2), 119, 9]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,119P) [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(49¹⁷, 64, F₄₉, 2, 16) (dual of [(64, 2), 111, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,111P) [i] based on function field F/F₄₉ with g(F) = 1 and N(F) ≥ 64 (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.