How to get Public Key Remainder?

Hi Friends..
Sorry, i have a little doubt regarding the Public Key Remainder..
What is Public Key Remainder used for?.. is it a part of Public Key?.. How to get it from Public Key, especially in Java?
As far as i know that the Public Key is constructed with Modulus and Exponent, and with this we can Encrypt and Verify data was signed by Private Key..
In Java, we can expose Public Key's modulus and public exponent using RSAPublicKey, there's no method to expose Public Key's Remainder..
Please help me regarding this..
Thanks

Leonardo Carreira wrote:
Hi Shane,
Thanks for your reply.. :)
safarmer wrote:
In that case the exponent and remainder are you public key (exponent and modulus) and the certificate is defined in the definitions section of Book 3. It is a secure way of verifying the public key and it's owner through a trusted certification authority.
EMV Book 3 tends to use Remainder and Modulus interchangeably.You mean, the Issuer (in this case one of E,M, and V) should provide 2 certificates for 1 card?..
This is implemented on SDA or DDA?..
Sorry, i'm still have no idea..
The Remainder and Modulus should be used interchangeably?..
How the Host and Card can decides in each transaction whether it will use Remainder or Modulus?..I mean that the terminology is used interchangeably. They refer to the same thing as far as the actual key is concerned.
Cheers,
Shane

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