##  [Lattice Basis Reduction](/lattice-basis-reduction) 

  ##  [Lattice Basis Reduction](https://puremath.quantumdictionary.io/lattice-basis-reduction-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The procedure of transforming a given basis of a lattice (a discrete additive subgroup of R^n generated by integer linear combinations of basis vectors) into a basis whose vectors are shorter and closer to orthogonal while spanning the same lattice.