A Query Efficient Non-adaptive Long Code Test with Perfect Completeness

نویسندگان

  • Suguru Tamaki
  • Yuichi Yoshida
چکیده

Long Code testing is a fundamental problem in the area of property testing and hardness of approximation. In this paper, we study how small the soundness s of the Long Code test with perfect completeness can be by using non-adaptive q queries. We show that s = (2q+3)/2 is possible, where q is of the form 2 − 1 for any integer k > 2.

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Comment on TR07-090

The result of the paper can be deduced from already known results in [ST06] and [BHR05]. 1 MainAfter publishing the paper in ECCC, it has come to my attention that the result provenin the paper, lower bounds for adaptive linearity tests, can be deduced from alreadyknown results.As stated in the paper, the lower bound for non-adaptive linearity tests was provenby Samorodnitsk...

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عنوان ژورنال:
  • Random Struct. Algorithms

دوره 47  شماره 

صفحات  -

تاریخ انتشار 2009