MinT - Information on Result #1672771

Information on Result #1672771

Linear OOA(256³⁹, 578, F₂₅₆, 6, 25) (dual of [(578, 6), 3429, 26]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256³⁹, 578, F₂₅₆, 5, 25) (dual of [(578, 5), 2851, 26]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256¹³, 289, F₂₅₆, 5, 12) (dual of [(289, 5), 1432, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,1432P) [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(256²⁶, 289, F₂₅₆, 5, 25) (dual of [(289, 5), 1419, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,1419P) [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.