239 citations · 373 across the 14 of their papers we have counts for
Showing 1999Show all
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math.CO1999★ 3 cited
Polynomial method in coding and information theory
A. Ashikhmin, A. Barg, S. Litsyn
Polynomial, or Delsarte's, method in coding theory accounts for a variety of structural results on, and bounds on the size of, extremal configurations (codes and designs) in variou…
quant-ph1999
Quantum Error Detection II: Bounds
A. Ashikhmin, A. Barg, E. Knill +1
In Part II we show that there exist quantum codes whose probability of undetected error falls exponentially with the length of the code and derive bounds on this exponent.The lower…
quant-ph1999
Quantum Error Detection I: Statement of the Problem
Alexei Ashikhmin, Alexander Barg, Emanuel Knill +1
I. This paper is devoted to the problem of error detection with quantum codes. In the first part we examine possible problem settings for quantum error detection. Our goal is to de…