• Title/Summary/Keyword: RSA Public Key Encryption Algorithm

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Optical Asymmetric Cryptography Modifying the RSA Public-key Protocol

  • Jeon, Seok Hee;Gil, Sang Keun
    • Current Optics and Photonics
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    • v.4 no.2
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    • pp.103-114
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    • 2020
  • A new optical asymmetric cryptosystem is proposed by modifying the asymmetric RSA public-key protocol required in a cryptosystem. The proposed asymmetric public-key algorithm can be optically implemented by combining a two-step quadrature phase-shifting digital holographic encryption method with the modified RSA public-key algorithm; then two pairs of public-private keys are used to encrypt and decrypt the plaintext. Public keys and ciphertexts are digital holograms that are Fourier-transform holograms, and are recorded on CCDs with 256-gray-level quantized intensities in the optical architecture. The plaintext can only be decrypted by the private keys, which are acquired by the corresponding asymmetric public-key-generation algorithm. Schematically, the proposed optical architecture has the advantage of producing a complicated, asymmetric public-key cryptosystem that can enhance security strength compared to the conventional electronic RSA public-key cryptosystem. Numerical simulations are carried out to demonstrate the validity and effectiveness of the proposed method, by evaluating decryption performance and analysis. The proposed method shows feasibility for application to an asymmetric public-key cryptosystem.

A Study of Field Application Process of Public Key Algorithm RSA Based on Mathematical Principles and Characteristics through a Diagnostic (수학원리와 특성 진단을 기반으로 한 공개키 RSA 알고리즘의 현장 적용 프로세스)

  • Noh, SiChoon;Song, EunJee;Moon, SongChul
    • Journal of Service Research and Studies
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    • v.5 no.2
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    • pp.71-81
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    • 2015
  • The RSA public key encryption algorithm, a few, key generation, factoring, the Euler function, key setup, a joint expression law, the application process are serial indexes. The foundation of such algorithms are mathematical principles. The first concept from mathematics principle is applied from how to obtain a minority. It is to obtain a product of two very large prime numbers, but readily tracking station the original two prime number, the product are used in a very hard principles. If a very large prime numbers p and q to obtain, then the product is the two $n=p{\times}q$ easy station, a method for tracking the number of p and q from n synthesis and it is substantially impossible. The RSA encryption algorithm, the number of digits in order to implement the inverse calculation is difficult mathematical one-way function and uses the integer factorization problem of a large amount. Factoring the concept of the calculation of the mod is difficult to use in addition to the problem in the reverse direction. But the interests of the encryption algorithm implementation usually are focused on introducing the film the first time you use encryption algorithm but we have to know how to go through some process applied to the field work This study presents a field force applied encryption process scheme based on public key algorithms attribute diagnosis.

Incorporating RSA with a New Symmetric-Key Encryption Algorithm to Produce a Hybrid Encryption System

  • Prakash Kuppuswamy;Saeed QY Al Khalidi;Nithya Rekha Sivakumar
    • International Journal of Computer Science & Network Security
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    • v.24 no.1
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    • pp.196-204
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    • 2024
  • The security of data and information using encryption algorithms is becoming increasingly important in today's world of digital data transmission over unsecured wired and wireless communication channels. Hybrid encryption techniques combine both symmetric and asymmetric encryption methods and provide more security than public or private key encryption models. Currently, there are many techniques on the market that use a combination of cryptographic algorithms and claim to provide higher data security. Many hybrid algorithms have failed to satisfy customers in securing data and cannot prevent all types of security threats. To improve the security of digital data, it is essential to develop novel and resilient security systems as it is inevitable in the digital era. The proposed hybrid algorithm is a combination of the well-known RSA algorithm and a simple symmetric key (SSK) algorithm. The aim of this study is to develop a better encryption method using RSA and a newly proposed symmetric SSK algorithm. We believe that the proposed hybrid cryptographic algorithm provides more security and privacy.

A Study on Public key Exponential Cryptosystem for Security in Computer Networks (컴퓨터 네트워크의 보안을 위한 공개키 다항식 지수 암호시스템에 대한 연구)

  • Yang, Tae-Kyu
    • The Journal of Information Technology
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    • v.6 no.1
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    • pp.1-10
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    • 2003
  • In this paper, a public key exponential encryption algorithm for data security of computer network is proposed. This is based on the security to a difficulty of polynomial factorization. For the proposed public key exponential encryption, the public key generation algorithm selects two polynomials f(x,y,z) and g(x,y,z). The enciphering first selects plaintext polynomial W(x,y,z) and multiplies the public key polynomials, then the ciphertext is computed. In the proposed exponential encryption system of public key polynomial, an encryption is built by exponential encryption multiplied thrice by the optional integer number and again plus two public polynomials f(x,y,z) and g(x,y,z). This is an encryption system to enforce the security of encryption with help of prime factor added on RSA public key. The propriety of the proposed public key exponential cryptosystem algorithm is verified with the computer simulation.

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Asymmetric Public Key Cryptography by Using Logic-based Optical Processing

  • Gil, Sang Keun
    • Journal of the Optical Society of Korea
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    • v.20 no.1
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    • pp.55-63
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    • 2016
  • In this paper, a new asymmetric public key cryptography based on the modified RSA algorithm is proposed by using logic-based optical processing. The proposed asymmetric public key algorithm is realized into an optical schematic, where AND, OR and XOR logic operations are implemented by using free space digital optics architecture. Schematically, the proposed optical configuration has an advantage of generating the public keys simultaneously. Another advantage is that the suggested optical setup can also be used for message encryption and decryption by simply replacing data inputs of SLMs in the optical configuration. The last merit is that the optical configuration has a 2-D array data format which can increase the key length easily. This can provide longer 2-D key length resulting in a higher security cryptosystem than the conventional 1-D key length cryptosystem. Results of numerical simulation and differential cryptanalysis are presented to verify that the proposed method shows the effectiveness in the optical asymmetric cryptographic system.

2,048 bits RSA public-key cryptography processor based on 32-bit Montgomery modular multiplier (32-비트 몽고메리 모듈러 곱셈기 기반의 2,048 비트 RSA 공개키 암호 프로세서)

  • Cho, Wook-Lae;Shin, Kyung-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.21 no.8
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    • pp.1471-1479
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    • 2017
  • This paper describes a design of RSA public-key cryptography processor supporting key length of 2,048 bits. A modular multiplier that is core arithmetic function in RSA cryptography was designed using word-based Montgomery multiplication algorithm, and a modular exponentiation was implemented by using Left-to-Right (LR) binary exponentiation algorithm. A computation of a modular multiplication takes 8,386 clock cycles, and RSA encryption and decryption requires 185,724 and 25,561,076 clock cycles, respectively. The RSA processor was verified by FPGA implementation using Virtex5 device. The RSA cryptographic processor synthesized with 100 MHz clock frequency using a 0.18 um CMOS cell library occupies 12,540 gate equivalents (GEs) and 12 kbits memory. It was estimated that the RSA processor can operate up to 165 MHz, and the estimated time for RSA encryption and decryption operations are 1.12 ms and 154.91 ms, respectively.

Proposal for Analog Signature Scheme Based on RSA Digital Signature Algorithm and Phase-shifting Digital Holography

  • Gil, Sang Keun
    • Current Optics and Photonics
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    • v.4 no.6
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    • pp.483-499
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    • 2020
  • In this paper, a novel analog signature scheme is proposed by modifying an RSA-based digital signature scheme with optical phase-shifting digital holography. The purpose of the proposed method is generating an analog signature to provide data confidentiality and security during the data transfer, compared to the digital signature. The holographic encryption technique applied to a hash value reveals an analog-type of pseudo-random pattern in the analog signature scheme. The public key and secret key needed to verify the analog signature are computed from public key ciphers which are generated by the same holographic encryption. The proposed analog signature scheme contains a kind of double encryption in the process of generating signature and key, which enhances security level more than the digital signature. The results of performance simulations show the feasibility of the highly secure signature scheme, and security analysis shows high robustness against known-message attacks and chosen-message attacks. In addition, the proposed method can apply to one-time signature schemes which can be used to sign only one message and it can also apply to authentication, e-mails, electronic banking and electronic data interchange.

Fast Video Data Encryption for Swarm UAVs Using Hybrid Crypto-system (하이브리드 암호시스템을 이용한 군집 영상의 고속 암호화)

  • Cho, Seong-Won;Kim, Jun-Hyeong;Chae, Yeo-Gyeong;Joung, Yu-Min;Park, Tae-Kyou
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.46 no.7
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    • pp.602-609
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    • 2018
  • This paper proposes the hybrid crypto-system for fast video data encryption of UAV(Unmanned Aerial Vehicle) under the LTE(Long-Term Evolution) wireless communication environment. This hybrid crypto-system is consisted of ECC(Elliptic Curve Cryptography) public key algorithm and LEA(Light-weight Encryption Algorithm) symmetric key algorithm. ECC is a faster public key algorithm with the same security strength than RSA(Rivest Shamir Adleman), and Korean standard LEA with the same key size is also a faster symmetric key algorithm than AES(Advances Encryption Standard). We have implemented this hybrid crypto-system using OpenSSL, OpenCV and Socket programs under the Swarm 8-UAV. We have shown the efficient adaptability of this hybrid crypto-system for the real-time swarm UAV through the experiments under the LTE communication environment.

PARTIAL KEY EXPOSURE ATTACKS ON RSA AND ITS VARIANT BY GUESSING A FEW BITS OF ONE OF THE PRIME FACTORS

  • Sarkar, Santanu;Maitra, Subhamoy
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.4
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    • pp.721-741
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    • 2009
  • Consider RSA with N = pq, q < p < 2q, public encryption exponent e and private decryption exponent d. We first study cryptanalysis of RSA when certain amount of the Most Significant Bits (MSBs) or Least Significant Bits (LSBs) of d is known. The basic lattice based technique is similar to that of Ernst et al. in Eurocrypt 2005. However, our idea of guessing a few MSBs of the secret prime p substantially reduces the requirement of MSBs or LSBs of d for the key exposure attack. Further, we consider the RSA variant proposed by Sun and Yang in PKC 2005 and show that the partial key exposure attack works significantly on this variant.

McEliece Type PKC Based on Algebraic Geometry Code over Hyperelliptic Curve (초타원 곡선위에서 생성된 대수기하 부호를 이용한McEliece유형의 공개키 암호시스템)

  • 강보경;한상근
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.12 no.1
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    • pp.43-54
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    • 2002
  • McEliece introduced a public-key cryptosystem based on Algebraic codes, specially binary classical Goppa which have a good decoding algorithm and vast number of inequivalent codes with given parameters. And the advantage of this system low cost of their encryption and decryption procedures compared with other public-key systems specially RSA, ECC based on DLP(discrete logarithm problem). But in [1], they resent new attack based on probabilistic algorithm to find minimum weight codeword, so for a sufficient security level, much larger parameter size [2048, 1608,81]is required. Then the big size of public key make McEliece PKC more inefficient. So in this paper, we will propose New Type PKC using q-ary Hyperelliptic code so that with smaller parameter(1 over 3) but still work factor as hi인 as McEliece PKC and faster encryption, decryption can be maintained.