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ํƒฟ’์›๊ณก์„ ์•”ํ˜ธ์‹œ์Šคํ…œ(ECC:Elliptic Curve Cryptosystem) ์ˆ˜ํ•™์  ์ •์˜๋ฐ ์˜ˆ์ œ ์†Œ์Šค

ํƒฟ’์›๊ณก์„ ์•”ํ˜ธ์‹œ์Šคํ…œ(ECC:Elliptic Curve Cryptosystem) ์•Œ๊ธฐ์‰ฝ๊ฒŒ ์ˆ˜ํ•™์  ์ •์˜๋ฅผ ํ•˜์˜€์œผ๋ฉฐ ์ˆ˜ํ•™์  ์ •๋ฆฌ๋ฅผ ํ†ตํ•ด EC-ElGamal ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ C์–ธ์–ด๋ฅผ ํ†ตํ•ด ์˜ˆ์ œ๋ฅผ ์ž‘์„ฑํ–ˆ๋‹ค. ๋ชฉ ์ฐจ ์ œ 1 ์žฅ ECC ์•Œ๊ณ ๋ฆฌ์ฆ˜ ์ œ 1 ์ ˆ ECC ์•Œ๊ณ ๋ฆฌ์ฆ˜ ์ •์˜ ๋ฐ ์ข…๋ฅ˜ 1.1.1 ECC ์•Œ๊ณ ๋ฆฌ์ฆ˜ ์ •์˜ 1.1.2 ECC ์•Œ๊ณ ๋ฆฌ์ฆ˜ ์ข…๋ฅ˜ ์ œ 2 ์ ˆ ECC์˜ ์ˆ˜ํ•™์  ์ •์˜ 1.2.1 ECC์—์„œ ํŒŒ๋ผ๋ฏธํ„ฐ ์ƒ์„ฑ 1.2.2 ECC์—์„œ ๋ง์…ˆ 1.2.3 ECC์—์„œ ๋บ„์…ˆ 2์žฅ EC-ElGamal ์˜ˆ์ œ ์†Œ์Šค
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์ตœ์ดˆ๋“ฑ๋ก์ผ 2008.08.06 ์ตœ์ข…์ ฟ’์ž‘์ผ 2008.06
ํƒฟ’์›๊ณก์„ ์•”ํ˜ธ์‹œ์Šคํ…œ(ECC:Elliptic Curve Cryptosystem) ์ˆ˜ํ•™์  ์ •์˜๋ฐ ์˜ˆ์ œ ์†Œ์Šค
  • ๋ฏธ๋้ฉ๋ณด๊ธฐ

    ์†Œ๊ฐœ

    ํƒฟ’์›๊ณก์„ ์•”ํ˜ธ์‹œ์Šคํ…œ(ECC:Elliptic Curve Cryptosystem) ์•Œ๊ธฐ์‰ฝ๊ฒŒ ์ˆ˜ํ•™์  ์ •์˜๋ฅผ ํ•˜์˜€์œผ๋ฉฐ ์ˆ˜ํ•™์  ์ •๋ฆฌ๋ฅผ ํ†ตํ•ด EC-ElGamal ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ C์–ธ์–ด๋ฅผ ํ†ตํ•ด ์˜ˆ์ œ๋ฅผ ์ž‘์„ฑํ–ˆ๋‹ค.

    ๋ชฉ ์ฐจ

    ์ œ 1 ์žฅ ECC ์•Œ๊ณ ๋ฆฌ์ฆ˜

    ์ œ 1 ์ ˆ ECC ์•Œ๊ณ ๋ฆฌ์ฆ˜ ์ •์˜ ๋ฐ ์ข…๋ฅ˜

    1.1.1 ECC ์•Œ๊ณ ๋ฆฌ์ฆ˜ ์ •์˜

    1.1.2 ECC ์•Œ๊ณ ๋ฆฌ์ฆ˜ ์ข…๋ฅ˜

    ์ œ 2 ์ ˆ ECC์˜ ์ˆ˜ํ•™์  ์ •์˜

    1.2.1 ECC์—์„œ ํŒŒ๋ผ๋ฏธํ„ฐ ์ƒ์„ฑ

    1.2.2 ECC์—์„œ ๋ง์…ˆ

    1.2.3 ECC์—์„œ ๋บ„์…ˆ

    2์žฅ EC-ElGamal ์˜ˆ์ œ ์†Œ์Šค

    ์ปดํŒŒ์ผ ์‹คํ–‰ํ™˜๊ฒฝ

    Visual studio 6.0/window XP

    ์ฐธ๊ณ ์ž๋ฃŒ

    ยท [1] ๊ณฝ๋ฏธ์ˆ™, โ€œ์ •๋ณด๋ณดํ˜ธ์—์„œ์˜ ๊ธฐ์ˆ ์  ๋ณด์•ˆ(์•”ํ˜ธํ™” ๊ธฐ๋ฒ•)โ€, ์„œ์šธ๋Œ€ํ•™๊ป“์˜๊ณผ๋Œ€ํ•™, 2005. 10. 25
    ยท [2] ์ด์ฃผ์ฒ , โ€œ์ •๋ณด๋ณดํ˜ธ์™ฟ’ ์ „์ž๋ฌธ์„œ ์œ ํ†ตํ™•๋Œ€๋ฅผ ์œ„ํ•œ ์ „์ž์„œ๋ช…์˜ ํšจ์œจ์  ์ด์šฉ๋ฐฉ์•ˆโ€, ์ „๋ถ๋Œ€ํ•™๊ป“ ํ•™์œ„๋…ผ๋ๅฉ, 2006. 2
    ยท [3] ๋ฏผ๋ณ‘๊ด€, โ€œ์•”ํ˜ธํ™” ๊ธฐ์ˆ ์˜ ์ตœ๊ทผ ๋™ํ–ฅโ€, ์ „์ž๋ถ€ํ’ˆ์—ฐ๊ตฌ์›, 2004. 02. 19
    ยท [4] G. J. Simmons, โ€œContemporary Cryptology,โ€ IEEE Press, 1991.
    ยท [5] ์œ ์˜์ค€, โ€œ๋””์ง€ํ„ธ ์•”ํ˜ธํ™” ๊ธฐ์ˆ  ํ˜„ํ™ฉโ€, ์ „์ž์ •๋ณด๋น„๋ฐ”์นด์ง€๋…ธ Viva, 2006. 11.
    ยท [6] A.J Menezes,P.C Van Oorschot, S.A Vanstorne, โ€œHandbook of Applied Cryiptography,โ€ CRC Press, Boca Raton, Florida, 1997.
    ยท [7] W. Diffe and M. Hellman, โ€œNew directions in cryptography,โ€ IEEE Transactions on Information Theory, pp. 644~654, Nov. 1976.
    ยท [8] http://en.wikipedia.org/wiki/Digital_Signature_Algorithm
    ยท [9] Raymond G. Kammer, Director, โ€œDIGITAL SIGNATURE STANDARD(DSS),โ€ U.S. DEPARTMENT OF COMMERCE/National Institute of Standards and Technology, 27. January. 2000.
    ยท [10] A. Menezes, P. van Oorschot, and S. Vanstone,"Handbook of Applied Cryptography," CRC Press, 1996.
    ยท [11] SEC1, โ€œElliptic Curve Cryptography,โ€ v.1.0, pp.62, Sept. 2000.
    ยท [12] ํฌํ•ญ๊ณต๋Œ€, โ€œ๋ถ€๊ฐ€ํ˜• ์ „์ž์„œ๋ช… ๋ฐฉ์‹ ํ‘œ์ค€(์•ˆ) - ์ œ 3๋ถ€: ํƒ€์›๊ณก์„์„ ์ด์šฉํ•œ ์ธ์ฆ์„œ ๊ธฐ๋ฐ˜ ์ „์ž์„œ๋ช… ์•Œ๊ณ ๋ฆฌ์ฆ˜", TTA.KO, 2000. 12.
    ยท [13] Randall K. Nichols, โ€œICSA Guide to Cryptography,โ€ McGraw-Hill, Dec. 1999.
    ยท [14] C. G. Pollman, โ€œXML Pool Encryption,โ€ XMLSEC02, USA, pp.1-9, 22, Nov. 2002.
    ยท [15] O. Ugus et al, โ€œPerformance of Additive Homomorphic EC-ELGamal Encryption for TinyPEDS,โ€ Technischer Bericht der RWTH Aachen ISSN 0935-3232, Germany, July, 2007.
    ยท [16] Heidelberg, โ€œCompact Encoding of Non-adjacent Forms with Applications to Elliptic Curve Cryptography,โ€ Springer Berlin, 2001.
  • ์ž๋ฃŒํ›„๊ธฐ

      Ai ๋ฆฌ๋ทฐ
      ์งฟ’์‹ํŒ๋งค์ž๊ฐ€ ๋“ฑ๋กํ•œ ์ž๋ฃŒ๋Š” ์ฃผ์ œ์— ๋Œ€ํ•œ ๊นŠ์ด ์žˆ๋Š” ๋ถ„์„์ด ๋‹๋ณด์ž…๋‹ˆ๋‹ค. ๊ณผ์ œ๋ฅผ ์ž‘์„ฑํ•˜๋Š” ๋ฐ ํฐ ๋„์›€์ด ๋˜์—ˆ์Šต๋‹ˆ๋‹ค. ์•ž์œผ๋กœ๋„ ์ด๋Ÿฐ ์ข‹์€ ์ž๋ฃŒ๊ฐ€ ๋งŽ์ด ๋“ฑ๋ก๋˜๊ธฐ๋ฅผ ๊ธฐ๋Œ€ํ•ฉ๋‹ˆ๋‹ค.
    • ์ž์ฃผ๋ฌป๋Š”์งˆ๋ๅฉ์˜ ๋‹ต๋ณ€์„ ํ™•์ธํ•ด ์ฃผ์„ธ์š”

      ํ•ดํ”ผ์บ ํผ์Šค FAQ ๋”๋ต–๊ธฐ

      ๊ผญ ์•Œ์•„์ฃผ์„ธ์š”

      • ์ž๋ฃŒ์˜ ์ •๋ณด ๋ฐ ๋‚ด์šฉ์˜ ์ง„์‹ค์„ฑ์— ๋Œ€ํ•˜์—ฌ ํ•ดํ”ผ์บ ํผ์Šค๋Š” ๋ณด์ฆํ•˜์ง€ ์•Š์œผ๋ฉฐ, ํ•ด๋‹น ์ •๋ณด ๋ฐ ๊ฒŒ์‹œ๋ฌผ ์ €์ž‘๊ถŒ๊ณผ ๊ธฐํƒ€ ๋ฒ•์  ์ฑ…์ž„์€ ์ž๋ฃŒ ๋“ฑ๋ก์ž์—๊ฒŒ ์žˆ์Šต๋‹ˆ๋‹ค.
        ์ž๋ฃŒ ๋ฐ ๊ฒŒ์‹œ๋ฌผ ๋‚ด์šฉ์˜ ๋ถˆ๋ฒ•์  ์ด์šฉ, ๋ฌด๋‹จ ์ „์žฌโˆ™๋ฐฐํฌ๋Š” ๊ธˆ์ง€๋˜์–ด ์žˆ์Šต๋‹ˆ๋‹ค.
        ์ €์ž‘๊ถŒ์นจํ•ด, ๋ช…์˜ˆํ›ผ์† ๋“ฑ ๋ถ„์Ÿ ์š”์†Œ ๋ฐœ๊ฒฌ ์‹œ ๊ณ ๊ฐ๋น„๋ฐ”์นด์ง€๋…ธ Viva์˜ ์ €์ž‘๊ถŒ์นจํ•ด ์‹ ๊ณ ๋น„๋ฐ”์นด์ง€๋…ธ Viva๋ฅผ ์ด์šฉํ•ด ์ฃผ์‹œ๊ธฐ ๋ฐ”๋ž๋‹ˆ๋‹ค.
      • ํ•ดํ”ผ์บ ํผ์Šค๋Š” ๊ตฌ๋งค์ž์™ฟ’ ํŒ๋งค์ž ๋ชจ๋‘๊ฐ€ ๋งŒ์กฑํ•˜๋Š” ์„œ๋น„์Šค๊ฐ€ ๋˜๋„๋ก ๋…ธ๋ ฅํ•˜๊ณ  ์žˆ์œผ๋ฉฐ, ์•„๋ž˜์˜ 4๊ฐ€์ง€ ์ž๋ฃŒํ™˜๋ถˆ ์กฐ๊ฑด์„ ๊ผญ ํ™•์ธํ•ด์ฃผ์‹œ๊ธฐ ๋ฐ”๋ž๋‹ˆ๋‹ค.
        ํŒŒ์ผ์˜ค๋ฅ˜ ์ค‘๋ณต์ž๋ฃŒ ์ €์ž‘๊ถŒ ์—†์Œ ์„ค๋ช…๊ณผ ์‹ค์ œ ๋‚ด์šฉ ๋ถˆ์ผ์น˜
        ํŒŒ์ผ์˜ ๋‹ค์šด๋กœ๋“œ๊ฐ€ ์ œ๋Œ€๋กœ ๋˜์ง€ ์•Š๊ฑฐ๋‚˜ ํŒŒ์ผํ˜•์‹์— ๋งž๋Š” ํ”„๋กœ๊ทธ๋žจ์œผ๋กœ ์ •์ƒ ์ž‘๋™ํ•˜์ง€ ์•Š๋Š” ๊ฒฝ์šฐ ๋‹ค๋ฅธ ์ž๋ฃŒ์™ฟ’ 70% ์ด์ƒ ๋‚ด์šฉ์ด ์ผ์น˜ํ•˜๋Š” ๊ฒฝ์šฐ (์ค‘๋ณต์ž„์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ๋Š” ๊ทผ๊ฑฐ ํ•„์š”ํ•จ) ์ธํ„ฐ๋„ท์˜ ๋‹ค๋ฅธ ์‚ฌ์ดํŠธ, ์—ฐ๊ตฌ๊ธฐ๊ด€, ํ•™๊ป“, ์„œ์  ๋“ฑ์˜ ์ž๋ฃŒ๋ฅผ ๋„์šฉํ•œ ๊ฒฝ์šฐ ์ž๋ฃŒ์˜ ์„ค๋ช…๊ณผ ์‹ค์ œ ์ž๋ฃŒ์˜ ๋‚ด์šฉ์ด ์ผ์น˜ํ•˜์ง€ ์•Š๋Š” ๊ฒฝ์šฐ

    ํ•จ๊ป˜ ๊ตฌ๋งคํ•œ ์ž๋ฃŒ๋„ ํ™•์ธํ•ด ๋ณด์„ธ์š”!

    ๋ฌธ์„œ ์ดˆ์•ˆ์„ ์ƒ์„ฑํ•ด์ฃผ๋Š” EasyAI
    ์•ˆ๋…•ํ•˜์„ธ์š”. ํ•ดํ”ผ์บ ํผ์Šค์˜ ๋ฐฉ๋Œ€ํ•œ ์ž๋ฃŒ ์ค‘์—์„œ ์„ ๋ณ„ํ•˜์—ฌ ๋‹น์‹ ๋งŒ์˜ ์ดˆ์•ˆ์„ ๋งŒ๋“ค์–ด์ฃผ๋Š” EasyAI ์ž…๋‹ˆ๋‹ค.
    ์ €๋Š” ์•„๋ž˜์™ฟ’ ๊ฐ™์ด ์ž‘์—…์„ ๋„์™ฟ’๋“œ๋ฆฝ๋‹ˆ๋‹ค.
    - ์ฃผ์ œ๋งŒ ์ž…๋ ฅํ•˜๋ฉด ๋ชฉ์ฐจ๋ถ€ํ„ฐ ๋ณธ๋ฌธ๋‚ด์šฉ๊นŒ์ง€ ์ž๋™ ์ƒ์„ฑํ•ด ๋“œ๋ฆฝ๋‹ˆ๋‹ค.
    - ์žฅ๋ฌธ์˜ ์ฝ˜ํ…์ธ ๋ฅผ ์‰ฝ๊ณ  ๋น ๋ฅด๊ฒŒ ์ž‘์„ฑํ•ด ๋“œ๋ฆฝ๋‹ˆ๋‹ค.
    - ์Šคํ† ์–ด์—์„œ ๋ฌด๋ฃŒ ์บ์‹œ๋ฅผ ๊ณ„์ •๋ณ„๋กœ 1ํšŒ ๋ฐœ๊ธ‰ ๋ฐ›์„ ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค. ์ง€๊ธˆ ๋ฐ”๋กœ ์ฒดํ—˜ํ•ด ๋ณด์„ธ์š”!
    ์ด๋Ÿฐ ์ฃผ์ œ๋“ค์„ ์ž…๋ ฅํ•ด ๋ณด์„ธ์š”.
    - ์œ ์•„์—๊ฒŒ ์ ํ•ฉํ•œ ๋ฌธํ•™์ž‘ํ’ˆ์˜ ๊ธฐ์ค€๊ณผ ํŠน์„ฑ
    - ํ•œ๊ตญ์ธ์˜ ๊ฐ€์น˜๊ด€ ์ค‘์—์„œ ์ •์‹ ์  ๊ฐ€์น˜๊ด€์„ ์ด๋ฃจ๋Š” ๊ฒƒ๋“ค์„ ๋ฌธํ™”์  ๋ฌธ๋ฒ•์œผ๋กœ ์ •๋ฆฌํ•˜๊ณ , ํ˜„๋Œ€ํ•œ๊ตญ์‚ฌํšŒ์—์„œ ์ผ์–ด๋‚˜๋Š” ์‚ฌ๊ฑด๊ณผ ์‚ฌ๊ณ ๋ฅผ ๋น„๊ตํ•˜์—ฌ ์ž์‹ ์˜ ์˜๊ฒฌ์œผ๋กœ ๊ธฐ์ˆ ํ•˜์„ธ์š”
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