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CENG410

This document provides an in-depth look at a 1024-bit RSA key file, including its private and public key components. It covers critical elements such as the ASN.1 header, algorithm version, modulus (n), public exponent (e), private exponent (d), and prime factors (p, q). Additionally, it explains the Chinese Remainder Theorem (CRT) representation and includes practical commands for generating private keys using OpenSSL. Ideal for developers and security professionals seeking to understand RSA key structures and generation techniques.

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CENG410

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  1. CENG410 RSA Key details

  2. 1024-bit RSA Key File Base64 Encoded(Private) -----BEGIN RSA PRIVATE KEY----- MIICXgIBAAKBgQDHikastc8+I81zCg/qWW8dMr8mqvXQ3qbPAmu0RjxoZVI47tvs kYlFAXOf0sPrhO2nUuooJngnHV0639iTTEYG1vckNaW2R6U5QTdQ5Rq5u+uV3pMk 7w7Vs4n3urQ6jnqt2rTXbC1DNa/PFeAZatbf7ffBBy0IGO0zc128IshYcwIDAQAB AoGBALTNl2JxTvq4SDW/3VH0fZkQXWH1MM10oeMbB2qO5beWb11FGaOO77nGKfWc bYgfp5Ogrql4yhBvLAXnxH8bcqqwORtFhlyV68U1y4R+8WxDNh0aevxH8hRS/1X5 031DJm1JlU0E+vStiktN0tC3ebH5hE+1OxbIHSZ+WOWLYX7JAkEA5uigRgKp8ScG auUijvdOLZIhHWq7y5Wz+nOHUuDw8P7wOTKU34QJAoWEe771p9Pf/GTA/kr0BQnP QvWUDxGzJwJBAN05C6krwPeryFKrKtjOGJIniIoY72wRnoNcdEEs3HDRhf48YWFo riRbZylzzzNFy/gmzT6XJQTfktGqq+FZD9UCQGIJaGrxHJgfmpDuAhMzGsUsYtTr iRox0D1Iqa7dhE693t5aBG010OF6MLqdZA1CXrn5SRtuVVaCSLZEL/2J5UcCQQDA d3MXucNnN4NPuS/L9HMYJWD7lPoosaORcgyK77bSSNgk+u9WSjbH1uYIAIPSffUZ bti+jc1dUg5wb+aeZlgJAkEAurrpmpqj5vg087ZngKfFGR5rozDiTsK5DceTV97K a3Y+Nzl+XWTxDBWk4YPh2ZlKv402hZEfWBYxUDn5ZkH/bw== -----END RSA PRIVATE KEY-----

  3. 1024-bit RSA Key File Hex (Private)

  4. Component of the Key File (Private) • ASN.1 Header • Algorithm Version • Modulus (n) • Public Exponent (e) • Private Exponent (d) • Prime1 (p) • Prime2 (q) Chinese Remainder Theorem (CRT) Representation • exponent 1 • exponent 2 • coefficient

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  10. 1024-bit RSA Key(Public) -----BEGIN PUBLIC KEY----- MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQDHikastc8+I81zCg/qWW8dMr8m qvXQ3qbPAmu0RjxoZVI47tvskYlFAXOf0sPrhO2nUuooJngnHV0639iTTEYG1vck NaW2R6U5QTdQ5Rq5u+uV3pMk7w7Vs4n3urQ6jnqt2rTXbC1DNa/PFeAZatbf7ffB By0IGO0zc128IshYcwIDAQAB -----END PUBLIC KEY----- • Header • Modulus (n) • Public Exponent (e)

  11. Details

  12. Commands • Generate private key 1024-bit (n is 1024 bits) > opensslgenrsa -out private.key 1024 • Generate details > opensslrsa -text -in private.key • Generate corresponding public key > opensslrsa -in key.private -pubout -out key.public

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