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WindowTitle->9. Chinese Remainder Theorem | Introduction to Number Theory
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find the years that have a certain period number with respect to the solar \
and lunar cycle and the Roman indiction\[CloseCurlyDoubleQuote] and \
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The Chinese remainder theorem is one of the few theorems named for an Asian \
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Formally stated, the Chinese remainder theorem says that the system of \
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Basically, it asks for the solution to the following system of linear \
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Cell["\<\
The Chinese remainder theorem has many uses, particularly in advanced \
computing algorithms.\
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It enables replacing a computation by several similar computations on small \
integers.\
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Cell["\<\
The widely used RSA public-key cryptosystem uses the Chinese remainder \
theorem for secure data transmission. The optimization for decryption is \
based on the theorem. In particular, it produces and stores values as part of \
a private key. The theorem also ensures that the secret \
can\[CloseCurlyQuote]t be recovered from an insufficient number of shares in \
secret sharing schemes.\
\>", "Text",
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Cell["\<\
The Fourier transform is a well-known function used in many areas. It takes a \
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