MinT - Information on Result #1615649

Information on Result #1615649

Linear OOA(256⁵⁵, 642, F₂₅₆, 4, 34) (dual of [(642, 4), 2513, 35]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256⁵⁵, 642, F₂₅₆, 3, 34) (dual of [(642, 3), 1871, 35]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256¹⁹, 321, F₂₅₆, 3, 17) (dual of [(321, 3), 944, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,945P) [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(256³⁶, 321, F₂₅₆, 3, 34) (dual of [(321, 3), 927, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,928P) [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.