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Cryptography with Elliptic Curve Using Tifinagh Characters

Cryptography with Elliptic Curve Using Tifinagh Characters
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摘要 The paper describes the concept of plaintext encryption by using the Unicode characters. In the case of elliptic curve cryptography, there is not specified rule or algorithm to specify the letters of Tifinagh as well as special characters. So, the paper gives the transformation of characters Tifinagh into points on elliptic curve by using the corresponding characters Latin. The obtained correspondence has been applied in Menezes-Vanstone cryptosystem based on elliptic curve. Therefore, the paper explains in detail its implementation in Maple 12.
机构地区 R. O.I Group A.A Group
出处 《Journal of Mathematics and System Science》 2012年第2期139-144,共6页 数学和系统科学(英文版)
关键词 CRYPTOGRAPHY elliptic curve elliptic curve cryptography UNICODE Tifinagh characters ENCRYPTION DECRYPTION implementation. 椭圆曲线加密 Unicode 特殊字符 特征 Maple 算法
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参考文献6

  • 1H.W. Lenstra, Factoring integers with elliptic curves, Annals of Mathematics 126 (1987) 649-673.
  • 2V.S. Miller, Use of elliptic curves in cryptography, In Advances in Cryptology, in: Proceeding of CRYPTO'85 pp. 417-426,.
  • 3N. Koblitz, Elliptic curve cryptosystems, Mathematics of Computation 48 (177) (1987) 203-209.
  • 4A. Meneze:s, S. Vanstone, Elliptic curve cryptosystems and their implementation, Journal of Cryptology 6 (4) (1993) 209-224.
  • 5A.J. Menezes, P.C. Van Oorschot, S.A. Vanstone, Public-Key Encryption, Handbook of Applied Cryptograplhy, CRC Press, Canada, 1996, Chapter 8.
  • 6Z. Cheng, Simple tutorial on elliptic curve cryptosystem, School of Computing Science, Mdx University London 2003 Conference.

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