The El-Gamal AA_{\beta} Public Key Cryptosystem - A new approach utilizing the subset sum problem in designing an asymmetric cryptosystem
The El-Gamal AA_{\beta} Public Key Cryptosystem is a new asymmetric cryptosystem based on the piecewise AA_{\beta}-function. The AA_{\beta}-function which is essentially a one way Boolean function was motivated by the squaring and multiplying process while computing g^a (mod p) in the Diffie Hellman...
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| creator | Ariffin, Muhammad Rezal Kamel Mandangan, Arif Ghani, Aniza Abdul Atan, Kamel Ariffin Mohd Abu, Nor Azman |
| description | The El-Gamal AA_{\beta} Public Key Cryptosystem is a new asymmetric
cryptosystem based on the piecewise AA_{\beta}-function. The
AA_{\beta}-function which is essentially a one way Boolean function was
motivated by the squaring and multiplying process while computing g^a (mod p)
in the Diffie Hellman key exchange procedure and also computing C \equiv M^e
(mod N) and M \equiv C^d (mod N) in the RSA cryptosystem. It was also motivated
by the add and double point operation E=kG in the elliptic curve cryptosystem.
The hard mathematical problem surrounding this newly designed asymmetric
cryptosystem is the NP-complete problem known as the subset sum problem. The
El-Gamal AA_{\beta} Public Key Cryptosystem mimics the El-Gamal Cryptosystem
and the Elliptic Curve Cryptosystem by sending a two parameter ciphertext to
the recipient. |
| doi_str_mv | 10.48550/arxiv.1012.5579 |
| format | Article |
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cryptosystem based on the piecewise AA_{\beta}-function. The
AA_{\beta}-function which is essentially a one way Boolean function was
motivated by the squaring and multiplying process while computing g^a (mod p)
in the Diffie Hellman key exchange procedure and also computing C \equiv M^e
(mod N) and M \equiv C^d (mod N) in the RSA cryptosystem. It was also motivated
by the add and double point operation E=kG in the elliptic curve cryptosystem.
The hard mathematical problem surrounding this newly designed asymmetric
cryptosystem is the NP-complete problem known as the subset sum problem. The
El-Gamal AA_{\beta} Public Key Cryptosystem mimics the El-Gamal Cryptosystem
and the Elliptic Curve Cryptosystem by sending a two parameter ciphertext to
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cryptosystem based on the piecewise AA_{\beta}-function. The
AA_{\beta}-function which is essentially a one way Boolean function was
motivated by the squaring and multiplying process while computing g^a (mod p)
in the Diffie Hellman key exchange procedure and also computing C \equiv M^e
(mod N) and M \equiv C^d (mod N) in the RSA cryptosystem. It was also motivated
by the add and double point operation E=kG in the elliptic curve cryptosystem.
The hard mathematical problem surrounding this newly designed asymmetric
cryptosystem is the NP-complete problem known as the subset sum problem. The
El-Gamal AA_{\beta} Public Key Cryptosystem mimics the El-Gamal Cryptosystem
and the Elliptic Curve Cryptosystem by sending a two parameter ciphertext to
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cryptosystem based on the piecewise AA_{\beta}-function. The
AA_{\beta}-function which is essentially a one way Boolean function was
motivated by the squaring and multiplying process while computing g^a (mod p)
in the Diffie Hellman key exchange procedure and also computing C \equiv M^e
(mod N) and M \equiv C^d (mod N) in the RSA cryptosystem. It was also motivated
by the add and double point operation E=kG in the elliptic curve cryptosystem.
The hard mathematical problem surrounding this newly designed asymmetric
cryptosystem is the NP-complete problem known as the subset sum problem. The
El-Gamal AA_{\beta} Public Key Cryptosystem mimics the El-Gamal Cryptosystem
and the Elliptic Curve Cryptosystem by sending a two parameter ciphertext to
the recipient.</abstract><doi>10.48550/arxiv.1012.5579</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Cryptography and Security |
| title | The El-Gamal AA_{\beta} Public Key Cryptosystem - A new approach utilizing the subset sum problem in designing an asymmetric cryptosystem |
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