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  1. Elliptic Curve Cryptography (ECC) is a key-based technique for encrypting data.[1]
  2. ECC is frequently discussed in the context of the Rivest–Shamir–Adleman (RSA) cryptographic algorithm.[1]
  3. RSA does something similar with prime numbers instead of elliptic curves, but ECC has gradually been growing in popularity recently due to its smaller key size and ability to maintain security.[1]
  4. In contrast to RSA, ECC bases its approach to public key cryptographic systems on how elliptic curves are structured algebraically over finite fields.[1]
  5. Elliptic Curve Cryptography (ECC) is one of the most powerful but least understood types of cryptography in wide use today.[2]
  6. To that end, we looked around to find a good, relatively easy-to-understand primer on ECC in order to share with our users.[2]
  7. If you're worried about ensuring the highest level of security while maintaining performance, ECC makes sense to adopt.[2]
  8. The elliptic curve discrete logarithm is the hard problem underpinning elliptic curve cryptography.[2]
  9. If you want a higher level explanation of elliptic curve cryptography (more mathematical), then check out this link.[3]
  10. Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields.[4]
  11. The security of elliptic curve cryptography depends on the ability to compute a point multiplication and the inability to compute the multiplicand given the original and product points.[4]
  12. While the RSA patent expired in 2000, there may be patents in force covering certain aspects of ECC technology.[4]
  13. At the RSA Conference 2005, the National Security Agency (NSA) announced Suite B which exclusively uses ECC for digital signature generation and key exchange.[4]
  14. This note describes the fundamental algorithms of Elliptic Curve Cryptography (ECC) as they were defined in some seminal references from 1994 and earlier.[5]
  15. RFC 6090 Fundamental ECC February 2011 Appendix B regarding generation of random integers.[5]
  16. KT-I signatures can be verified using the ECDSA verification algorithm, and ECDSA signatures can be verified using the KT-I verification algorithm.[5]
  17. Each ECC parameter set as in Section 3.3 is associated with a particular cofactor.[5]
  18. The ECC cryptosystem offered a failsafe fault detection scheme using an error detecting code with a proven rate of 99% fault detection coverage.[6]
  19. Readers are reminded that elliptic curve cryptography is a set of algorithms for encrypting and decrypting data and exchanging cryptographic keys.[7]
  20. Elliptic curve cryptography (ECC) is one of the most powerful but least understood types of cryptography in wide use today.[7]
  21. An increasing number of websites make extensive use of ECC to secure everything from customers' HTTPS connections to how they pass data between data centers.[7]
  22. Well, the easiest way to do public key encryption with ECC is to use ECIES.[8]
  23. In this paper, a hardware-implemented coprocessor for Elliptic Curve Cryptography operations is presented.[9]
  24. Elliptic curve cryptography is critical to the adoption of strong cryptography as we migrate to higher security strengths.[10]
  25. In 2015, NIST hosted a Workshop on Elliptic Curve Cryptography Standards to discuss possible approaches to promote the adoption of secure, interoperable and efficient elliptic curve mechanisms.[10]
  26. The OpenSSL EC library provides support for Elliptic Curve Cryptography (ECC).[11]
  27. Note: This page provides an overview of what ECC is, as well as a description of the low-level OpenSSL API for working with Elliptic Curves.[11]
  28. If all you need is support for normal ECDSA and ECDH operations then you should normally use the high-level EVP API.[11]
  29. The parameters necessary for performing cryptographic operations for ECDH and ECDSA are simply the parameters required to set up the curve.[11]
  30. Elliptic curve cryptography, or ECC, is a powerful approach to cryptography and an alternative method from the well known RSA.[12]
  31. The difference in size to yield the same amount of security between RSA and ECC keys is quite substantial.[12]
  32. As can be seen by the comparison table below, for the level of security that can be achieved by an elliptic curve cryptography key of 256 bit requires an RSA key to be 3072 bit.[12]
  33. It has been noted by the NSA that the encryption of a top-secret document by elliptic curve cryptography requires a key length of 384 bit.[12]
  34. ECC generates keys through the properties of the elliptic curve equation instead of the traditional method of generation as the product of very large prime numbers.[13]
  35. According to some researchers, ECC can yield a level of security with a 164-bit key that other systems require a 1,024-bit key to achieve.[13]
  36. ECC was first developed by Certicom, a mobile e-business security provider, and was then licensed by Hifn, a manufacturer of integrated circuitry (IC) and network security products.[13]
  37. However, Philip Deck of Certicom says that, while there are curves that are vulnerable, those implementing ECC would have to know which curves could not be used.[13]
  38. Will ECC be left as the only reasonable alternative or will Quantum Key Distribution prevail?[14]
  39. Elliptic curve cryptography is a modern public-key encryption technique based on mathematical elliptic curves.[15]
  40. In this introduction, our goal will be to focus on the high-level principles of what makes ECC work.[15]
  41. A common use of ECC is to encrypt data so that only authorized parties can decrypt it.[15]
  42. I’m going to give a very simple background of public-key cryptography as a jumping-off point so that we can discuss ECC and build on top of these ideas.[15]
  43. Small ECC keys have the equivalent strength of larger RSA keys because of the algorithm used to generate them.[16]
  44. Because of the smaller key size with an ECC certificate, less data is transmitted from the server to the client during the SSL handshake.[16]
  45. While ECC has some benefits, there are also major drawbacks that you should consider before moving to ECC.[16]
  46. ECC certificates and support in mobile platforms has not been thoroughly tested.[16]
  47. Some of my research is focused on the implementation issues of elliptic curve cryptography on embedded systems.[17]
  48. Since I often have to explain what elliptic curve cryptography exactly is, I decided to write this little introduction on the matter.[17]
  49. Elliptic curve cryptography (ECC) is a public key cryptography method, which evolved form Diffie Hellman.[17]
  50. Even though ECC is relatively new, the use of elliptic curves as a base for a cryptographic system was independently proposed by By Victor Miller and Neil Koblitz.[17]
  51. Elliptic curve cryptography (ECC) uses the mathematical properties of elliptic curves to produce public key cryptographic systems.[18]
  52. Like all public-key cryptography, ECC is based on mathematical functions that are simple to compute in one direction, but very difficult to reverse.[18]
  53. For most users, the important point to remember is that, compared to the more mature and widely-used RSA algorithm, ECDSA offers equivalent cryptographic strength with much lower key sizes.[18]
  54. ECC algorithms offer the closest asymmetric equivalent to symmetric encryption in terms of performance.[18]
  55. The key generation in the ECC cryptography is as simple as securely generating a random integer in certain range, so it is extremely fast.[19]
  56. The public keys in the ECC are EC points - pairs of integer coordinates {x, y}, laying on the curve.[19]
  57. Thus the compressed public key, corresponding to a 256-bit ECC private key, is a 257-bit integer.[19]
  58. ECC crypto algorithms can use different underlying elliptic curves.[19]
  59. Elliptic curve cryptography is used when the speed and efficiency of calculations is of the essence.[20]
  60. Another notable use of elliptic curve cryptography is found in the blockchain technology used in cryptocurrencies, for example in both Ethereum and Bitcoin.[20]
  61. There are some disadvantages to ECC, and it would be an oversight not to mention them.[20]
  62. If that happens, then elliptic curve cryptography may be the best alternative, especially if a new weakness in RSA requires much larger keys.[20]
  63. One major breakthrough is the development of cryptography based on the mathematical theory of elliptic curves, called ECC (Elliptic Curve Cryptography).[21]
  64. The real numbers used in diagrams for explaining ECC are not practical to use in actual implementations.[21]
  65. Although prime fields are more common in software, binary fields are common when implementing ECC in low-power hardware.[21]
  66. If you'd like to learn more about Elliptic Curve Cryptography, there are many references available.[21]
  67. ECC functionality depends on the selected backend.[22]
  68. All ECC API (including ECDSA and ECDH) uses types that are big enough to hold data for the biggest curve.[22]
  69. The scalar multiplication on elliptic curves defined over finite fields is a core operation in elliptic curve cryptography (ECC).[23]
  70. Many hardware designs of elliptic curve cryptography have been developed, aiming to accelerate the scalar multiplication processes, mainly those based on the field programmable gate arrays (FPGAs).[24]
  71. In 1985, Koblitz and Miller introduced the use of elliptic curves in public key cryptography called Elliptic curve Cryptography (ECC).[24]
  72. ECC is based on the discrete logarithm problem applied to elliptic curves over a finite field.[24]
  73. The ECC processor shown in Figure 1 consists of eight main components.[24]

소스

  1. ↑ 1.0 1.1 1.2 1.3 What is Elliptic Curve Cryptography? Definition & FAQs
  2. ↑ 2.0 2.1 2.2 2.3 A (Relatively Easy To Understand) Primer on Elliptic Curve Cryptography
  3. ↑ What is the math behind elliptic curve cryptography?
  4. ↑ 4.0 4.1 4.2 4.3 Elliptic-curve cryptography
  5. ↑ 5.0 5.1 5.2 5.3 Fundamental Elliptic Curve Cryptography Algorithms
  6. ↑ Error analysis and detection procedures for elliptic curve cryptography
  7. ↑ 7.0 7.1 7.2 A (relatively easy to understand) primer on elliptic curve cryptography
  8. ↑ How does encryption work in elliptic curve cryptography?
  9. ↑ Elliptic Curve Cryptography hardware accelerator for high-performance secure servers
  10. ↑ 10.0 10.1 Elliptic Curve Cryptography
  11. ↑ 11.0 11.1 11.2 11.3 Elliptic Curve Cryptography
  12. ↑ 12.0 12.1 12.2 12.3 Elliptic Curve Cryptography
  13. ↑ 13.0 13.1 13.2 13.3 What is elliptical curve cryptography (ECC)?
  14. ↑ How Does Elliptic Curve Cryptography Work?
  15. ↑ 15.0 15.1 15.2 15.3 (Very) Basic Intro To Elliptic Curve Cryptography
  16. ↑ 16.0 16.1 16.2 16.3 Elliptic Curve Cryptography (ECC Certificates)
  17. ↑ 17.0 17.1 17.2 17.3 An introduction to elliptic curve cryptography
  18. ↑ 18.0 18.1 18.2 18.3 What is Elliptic curve cryptography (ECC)?
  19. ↑ 19.0 19.1 19.2 19.3 Elliptic Curve Cryptography (ECC)
  20. ↑ 20.0 20.1 20.2 20.3 A brief investigation into elliptic curve cryptography
  21. ↑ 21.0 21.1 21.2 21.3 Elliptic Curve Cryptography
  22. ↑ 22.0 22.1 Elliptic Curve Cryptography
  23. ↑ The Graphs for Elliptic Curve Cryptography
  24. ↑ 24.0 24.1 24.2 24.3 Reconfigurable Architecture for Elliptic Curve Cryptography Using FPGA

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Spacy 패턴 목록

  • [{'LOWER': 'elliptic'}, {'LOWER': 'curve'}, {'LEMMA': 'cryptography'}]
  • [{'LEMMA': 'ECC'}]
  • [{'LOWER': 'elliptic'}, {'OP': '*'}, {'LOWER': 'curve'}, {'LEMMA': 'cryptography'}]
  • [{'LEMMA': 'ECDSA'}]
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