MinT - Information on Result #1567288

Information on Result #1567288

Linear OOA(256²⁶, 578, F₂₅₆, 3, 16) (dual of [(578, 3), 1708, 17]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256²⁶, 578, F₂₅₆, 2, 16) (dual of [(578, 2), 1130, 17]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256⁹, 289, F₂₅₆, 2, 8) (dual of [(289, 2), 569, 9]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,569P) [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289, using
    - sharp bound on the number of rational points on curves with genus 1 [i]
2. linear OOA(256¹⁷, 289, F₂₅₆, 2, 16) (dual of [(289, 2), 561, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,561P) [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289 (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.