On group rings and some of their applications to combinatorics and symmetric cryptography

Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
View: 108

This Paper With 14 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_THEGR-4-4_005

تاریخ نمایه سازی: 20 اردیبهشت 1400

Abstract:

‎We give a survey of recent applications of group rings to combinatorics and to cryptography‎, ‎including their use in the differential cryptanalysis of block ciphers‎.

Authors

Claude Carlet

Universities of Paris ۸ and Paris ۱۳

Yin Tan

University of Waterloo

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • L. D. Baumert, Cyclic Difference Sets, Lecture Notes in Mathematics, ...
  • T. Beth, D. Jungnickel and H. Lenz, Design Theory, 1, ...
  • E. Biham and A. Shamir, Differential cryptanalysis of DES-like cryptosystems ...
  • A. A. Bovdi, Group Algebra, Encyclop edia of Mathematics, Springer, ...
  • K. Browning, J. F. Dillon, R. E. Kibler and M. ...
  • C. Carlet, Boolean Functions for Cryptography and Error Correcting Codes, ...
  • C. Carlet, Vectorial Boolean Functions for Cryptography, Chapter of the ...
  • C. Carlet, P. Charpin and V. Zinoviev, Codes, bent functions ...
  • C. Carlet and C. Ding, Highly nonlinear mappings, Journal of ...
  • C. Carlet, G. Gong and Y. Tan, Quadratic zero-difference balanced ...
  • Y. M. Chee, Y. Tan and X. Zhang, Strongly regular ...
  • E. R. van Dam and D. Fon-Der-Flaass, Codes, graphs, and ...
  • C. Ding and Y. Tan, Zero-difference balanced functions with applications ...
  • W. Diffe and M. E. Hellman, New directions in cryptography, ...
  • Y. Edel and A. Pott, A new almost perfect nonlinear ...
  • K. Feng and J. Luo, Value distributions of exponential sums ...
  • K. Ireland and M. Rosen, A Classical Introduction to Modern ...
  • D. Kahrobaei, C. Koupparis and V. Shpilrain, Public key exchange ...
  • L. Knudsen, Truncated and higher order differentials, Lecture Notes in ...
  • L. Knudsen and M. Robshaw, The Block Cipher Companion, Information ...
  • P. V. Kumar, R. A. Scholtz and L. R. Welch, ...
  • S. Lang, Cyclotomic Fields II, Graduate Texts in Mathematics, 69, ...
  • S. L. Ma, A survey of partial difference sets, Design, ...
  • M. Matsui, Linear cryptanalysis method for DES cipher , Lecture ...
  • W. Meier and O. Staffelbach, Fast correlation attacks on stream ...
  • C. Milies and S. Sehgal, An Introduction To Group Rings ...
  • K. Nyb erg, Differential ly uniform mappings for cryptography, In ...
  • A. Pott, Nonlinear functions in abelian groups and relative difference ...
  • A. Pott, Finite Geometry and Character Theory, Lecture Notes in ...
  • A. Pott, Y. Tan, T. Feng and S. Ling, Association ...
  • D. S. Passman, The Algebraic Structure of Group Rings, Wiley, ...
  • Y. Tan, A. Pott and T. Feng, Strongly regular graphs ...
  • G. Weng, W. S. Qiu, Z. Wang and Q. Xiang, ...
  • نمایش کامل مراجع