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The Mathematics of the RSA Public-Key Cryptosystem Burt Kaliski RSA Laboratories ABOUT THE AUTHOR Dr Burt Kaliski is a computer scientist whose involvement with the security industry has been through the company that Ronald Rivest Adi Shamir and Leonard Adleman started in 1982 to commercialize the RSA encryption algorithm that they had invented. At the time Kaliski had just started his undergraduate degree at MIT. Professor Rivest was the advisor.

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The Mathematics behind RSA. In RSA, we have two large primes p and q, a modulus N = pq, an encryption exponent e and a decryption exponent d that satisfy ed = 1 mod (p - 1)(q - 1). The public key is the pair (N,e) and the private key is d. C = Me mod N.

The idea of RSA is based on the fact that it is difficult to factorize a large integer. The public key consists of two numbers where one number is a multiplication of two large prime numbers. And private key is also derived from the same two prime numbers.

RSA algorithm uses the following procedure to generate public and private keys: Select two large prime numbers, p and q. Multiply these numbers to find n = p x q, where n is called the modulus for encryption and decryption. If n = p x q, then the public key is <e, n>.

The RSA public key to be used for encryption, in PEM encoded format. Note that the length of the plaintext can not be greater than the length of the modulus of the RSA public key contained in the certificate minus 42 bytes.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232