MinT - Information on Result #2936868

Information on Result #2936868

Linear OOA(256⁶⁰, 642, F₂₅₆, 6, 37) (dual of [(642, 6), 3792, 38]-NRT-code), using 256¹ times duplication based on linear OOA(256⁵⁹, 642, F₂₅₆, 6, 37) (dual of [(642, 6), 3793, 38]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(256⁵⁹, 642, F₂₅₆, 4, 37) (dual of [(642, 4), 2509, 38]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256²⁰, 321, F₂₅₆, 4, 18) (dual of [(321, 4), 1264, 19]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,1265P) [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(256³⁹, 321, F₂₅₆, 4, 37) (dual of [(321, 4), 1245, 38]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,1246P) [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.