MinT - Information on Result #1615484

Information on Result #1615484

Linear OOA(256⁴³, 642, F₂₅₆, 4, 26) (dual of [(642, 4), 2525, 27]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256⁴³, 642, F₂₅₆, 2, 26) (dual of [(642, 2), 1241, 27]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256¹⁵, 321, F₂₅₆, 2, 13) (dual of [(321, 2), 627, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,628P) [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(256²⁸, 321, F₂₅₆, 2, 26) (dual of [(321, 2), 614, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,615P) [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.