MinT - Information on Result #1672573

Information on Result #1672573

Linear OOA(256¹⁷, 546, F₂₅₆, 6, 11) (dual of [(546, 6), 3259, 12]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256¹⁷, 546, F₂₅₆, 3, 11) (dual of [(546, 3), 1621, 12]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256⁵, 257, F₂₅₆, 3, 5) (dual of [(257, 3), 766, 6]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;766,256) [i]
2. linear OOA(256¹², 289, F₂₅₆, 3, 11) (dual of [(289, 3), 855, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,855P) [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]

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.