In the RSA algorithm, if n is 13 * 17, what is the block size in bits?
In the RSA algorithm, if n is 13 * 17, what is the block size in bits?
Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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![**RSA Algorithm Block Size Analysis**
To find the block size in bits for the RSA algorithm when \( n = 13 \times 17 \), we first calculate the value of \( n \).
1. **Calculate \( n \):**
\[
n = 13 \times 17 = 221
\]
2. **Determine the Block Size:**
The block size in RSA is based on the number of bits in the value of \( n \).
- Convert 221 to binary: \( 221_{10} = 11011101_2 \).
- The binary representation has 8 bits.
Therefore, the block size in bits for \( n = 221 \) is **8 bits**.
This calculation shows how the factors of \( n \) determine its size in binary representation, which directly impacts the block size in RSA encryption.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cb7ab84-2909-44b4-aa38-afda86b9d9a5%2Fb2ddcd52-d981-4c22-abd9-5b8c6aa7c992%2Fayzqxn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**RSA Algorithm Block Size Analysis**
To find the block size in bits for the RSA algorithm when \( n = 13 \times 17 \), we first calculate the value of \( n \).
1. **Calculate \( n \):**
\[
n = 13 \times 17 = 221
\]
2. **Determine the Block Size:**
The block size in RSA is based on the number of bits in the value of \( n \).
- Convert 221 to binary: \( 221_{10} = 11011101_2 \).
- The binary representation has 8 bits.
Therefore, the block size in bits for \( n = 221 \) is **8 bits**.
This calculation shows how the factors of \( n \) determine its size in binary representation, which directly impacts the block size in RSA encryption.
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