• Title/Summary/Keyword: ECC algorithm

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Analysis of Attacks and Security Level for Multivariate Quadratic Based Signature Scheme Rainbow (다변수 이차식 기반 서명 기법 Rainbow의 공격 기법 및 보안강도 분석)

  • Cho, Seong-Min;Kim, Jane;Seo, Seung-Hyun
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.31 no.3
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    • pp.533-544
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    • 2021
  • Using Shor algorithm, factoring and discrete logarithm problem can be solved effectively. The public key cryptography, such as RSA and ECC, based on factoring and discrete logarithm problem can be broken in polynomial time using Shor algorithm. NIST has been conducting a PQC(Post Quantum Cryptography) standardization process to select quantum-resistant public key cryptography. The multivariate quadratic based signature scheme, which is one of the PQC candidates, is suitable for IoT devices with limited resources due to its short signature and fast sign and verify process. We analyzes classic attacks and quantum attacks for Rainbow which is the only multivatiate quadratic based signature scheme to be finalized up to the round 3. Also we compute the attack complexity for the round 3 Rainbow parameters, and analyzes the security level of Rainbow, one of the PQC standardization candidates.

The Novel Efficient Dual-field FIPS Modular Multiplication

  • Zhang, Tingting;Zhu, Junru;Liu, Yang;Chen, Fulong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.14 no.2
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    • pp.738-756
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    • 2020
  • The modular multiplication is the key module of public-key cryptosystems such as RSA (Rivest-Shamir-Adleman) and ECC (Elliptic Curve Cryptography). However, the efficiency of the modular multiplication, especially the modular square, is very low. In order to reduce their operation cycles and power consumption, and improve the efficiency of the public-key cryptosystems, a dual-field efficient FIPS (Finely Integrated Product Scanning) modular multiplication algorithm is proposed. The algorithm makes a full use of the correlation of the data in the case of equal operands so as to avoid some redundant operations. The experimental results show that the operation speed of the modular square is increased by 23.8% compared to the traditional algorithm after the multiplication and addition operations are reduced about (s2 - s) / 2, and the read operations are reduced about s2 - s, where s = n / 32 for n-bit operands. In addition, since the algorithm supports the length scalable and dual-field modular multiplication, distinct applications focused on performance or cost could be satisfied by adjusting the relevant parameters.

A Method for Scalar Multiplication on Elliptic Curves against Differential Power Analysis using Efficient Key-Randomization (효율적인 키-난수화를 사용한 차분 전력 분석 공격에 대응하는 타원곡선 위의 스칼라 곱셈 방법)

  • Jung, Seok Won
    • The Journal of the Korea Contents Association
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    • v.20 no.1
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    • pp.356-363
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    • 2020
  • As a becoming era of Internet-of-Things, various devices are connected via wire or wirless networks. Although every day life is more convenient, security problems are also increasing such as privacy, information leak, denial of services. Since ECC, a kind of public key cryptosystem, has a smaller key size compared to RSA, it is widely used for environmentally constrained devices. The key of ECC in constrained devices can be exposed to power analysis attacks during scalar multiplication operation. In this paper, a key-randomization method is suggested for scalar multiplication on SECG parameters. It is against differential power analysis and has operational efficiency. In order to increase of operational efficiency, the proposed method uses the property 2lP=∓cP where the constant c is small compared to the order n of SECG parameters and n=2l±c. The number of operation for the Coron's key-randomization scalar multiplication algorithm is 21, but the number of operation for the proposed method in this paper is (3/2)l. It has efficiency about 25% compared to the Coron's method using full random numbers.

K-means clustering analysis and differential protection policy according to 3D NAND flash memory error rate to improve SSD reliability

  • Son, Seung-Woo;Kim, Jae-Ho
    • Journal of the Korea Society of Computer and Information
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    • v.26 no.11
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    • pp.1-9
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    • 2021
  • 3D-NAND flash memory provides high capacity per unit area by stacking 2D-NAND cells having a planar structure. However, due to the nature of the lamination process, there is a problem that the frequency of error occurrence may vary depending on each layer or physical cell location. This phenomenon becomes more pronounced as the number of write/erase(P/E) operations of the flash memory increases. Most flash-based storage devices such as SSDs use ECC for error correction. Since this method provides a fixed strength of data protection for all flash memory pages, it has limitations in 3D NAND flash memory, where the error rate varies depending on the physical location. Therefore, in this paper, pages and layers with different error rates are classified into clusters through the K-means machine learning algorithm, and differentiated data protection strength is applied to each cluster. We classify pages and layers based on the number of errors measured after endurance test, where the error rate varies significantly for each page and layer, and add parity data to stripes for areas vulnerable to errors to provides differentiate data protection strength. We show the possibility that this differentiated data protection policy can contribute to the improvement of reliability and lifespan of 3D NAND flash memory compared to the protection techniques using RAID-like or ECC alone.

Secure Certificates Duplication Method Among Multiple Devices Based on BLE and TCP (BLE 및 TCP 기반 다중 디바이스 간 안전한 인증서 복사 방법)

  • Jo, Sung-Hwan;Han, Gi-Tae
    • KIPS Transactions on Computer and Communication Systems
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    • v.7 no.2
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    • pp.49-58
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    • 2018
  • A certificate is a means to certify users by conducting the identification of the users, the prevention of forgery and alteration, and non-repudiation. Most people use an accredited certificate when they perform a task using online banking, and it is often used for the purpose of proving one's identity in issuing various certificates and making electronic payments in addition to online banking. At this time, the issued certificate exists in a file form on the disk, and it is possible to use the certificate issued in an existing device in a new device only if one copies it from the existing device. However, most certificate duplication methods are a method of duplication, entering an 8-16 digit verification code. This is inconvenient because one should enter the verification code and has a weakness that it is vulnerable to security issues. To solve this weakness, this study proposes a method for enhancing security certificate duplication in a multi-channel using TCP and BLE. The proposed method: 1) shares data can be mutually authenticated, using BLE Advertising data; and 2) encrypts the certificate with a symmetric key algorithm and delivers it after the certification of the device through an ECC-based electronic signature algorithm. As a result of the implementation of the proposed method in a mobile environment, it could defend against sniffing attacks, the area of security vulnerabilities in the existing methods and it was proven that it could increase security strength about $10^{41}$ times in an attempt of decoding through the method of substitution of brute force attack existing method.

An Efficient Digital Contents Cryptosystem using Elliptic Curve Cryptography Algorithm (타원곡선 암호알고리즘을 이용한 효율적인 디지털 컨텐츠 암호화 시스템)

  • Hwang Suntae;Lee Seunghyuk
    • Journal of Information Technology Applications and Management
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    • v.11 no.4
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    • pp.25-33
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    • 2004
  • Recently, as network and computer technologies are growing rapidly, most of business transactions are performed in cyber world. In spite of many advantages, the most concerns in Electronic Commerce are the information security matters, and the cryptosystem has been claimed as one of the proper means to settle this problem. In this paper, a partial encryption/decryption algorithm has been in-troduced to show the efficiency against the conventional method in which all the data are completely encoded. In our proposed scheme, the multimedia data can be efficiently encoded in a short time providing good data security. For example, the MP3 data can be securely protected with 10% encryption in our scheme. Moreover, 1he shuffling process at the end of partial encryption procedure provides higher level of data security.

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IMPLEMENTATION ISSUES FOR ARITHMETIC OVER EXTENSION FIELDS OF CHARACTERISTIC ODD

  • Oh, Sang-Ho;Kim, Chang-Han;Kim, Yong-Tae;Park, Young-Ho
    • Communications of the Korean Mathematical Society
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    • v.18 no.1
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    • pp.159-168
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    • 2003
  • In this paper we discuss the Construction Of 3 new extension field of characteristic odd and analyze the complexity of arithmetic operations over such a field. Also we show that it is suitable for Elliptic Curve Cryptosystems(ECC) and Digital Signature Algorithm(DSA, 〔7〕) as an underlying field. In particular, our digital signature scheme is at least twice as efficient as DSA.

A Study of a Secure Channel Implementation on the Military Computer Network (국방망 보안채널 구현에 관한 연구)

  • Lee, Jun
    • Journal of the Korea Institute of Military Science and Technology
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    • v.11 no.3
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    • pp.106-114
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    • 2008
  • In this paper we suggest a protocol and an algorithm which connect a secure channel between a server and a client over a TCP layer. To make key exchange time the most quickly, the protocol adopts ECC Diffie Hellman(ECCDH) algorithm. And the protocol does not use Hello message for key exchanges and state changes. We also implement this protocol over an open TCP/IP program and check the secure channel connecting time over the military computer network. The suggested protocol could be practically used on the military computer network without a hardware implementation.

Design and Implementation of Reed-Solomon Code for 2-Dimensional Bar Code System (Reed-Solomon 알고리즈을 이용한 2차원 바코드 시스템에서 오류 극복 기능 설계 및 구현)

  • Jang, Seung-Ju
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.5
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    • pp.1491-1499
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    • 2000
  • This paper is designed and implemented the data recovery mechanism for 2-D (2-dimensional) bar code system. The data recovery algorithm used the modified Reed-Solomon algorithm and it is implemented into 2-D bar code system. There are 7 types of 2-D bar code system, which are 21x21, 25x25, 41x41, 73x73, 101x101, 177x177. This paper has been experimented that how many data is saved among several 2-D bar code types and how many data re recovered. In the first experiment, the big size 2-D bar code system has many ECC codeword. Therefore, original data cannot be assigned to 2-D bar code system. In the second experiment, even if 35∼40% loss dta for the 2-D bar code system, the 2-D bar code system could have been recovered to original data.

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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.