A New Class of Multivariate Public Key Cryptosystems Constructed Based on Random Pseudo Cyclic Codes, K(XIII)SE(2)PKC, Realizing Coding Rate of Exactly 1.0
نویسنده
چکیده
In this paper, we present a new class of multivariate public-key cryptosystems, K(XIII)SE(2)PKC realizing the coding rate of exactly 1.0, based on random pseudo cyclic codes. The K(XIII)SE(2)PKC is constructed on the basis of K(IX)SE(1)PKC, formerly presented by the author. We show that K(XIII)SE(2)PKC is secure against the various attacks including the attack based on the Gröbner bases calculaion (GB attack) and the rank attack.
منابع مشابه
Public Key Cryptosystems Constructed Based on Random Pseudo Cyclic Codes, K(IX)SE(1)PKC, Realizing Coding Rate of Exactly 1.0
In this paper, we present a new class of public-key cryptosystems, K(IX)SE(1)PKC realizing the coding rate of exactly 1.0, based on random pseudo cyclic codes. We show that K(IX)SE(1)PKC is secure against the various attacks including the attack based on the Gröbner bases calculaion (GB attack).
متن کاملPublic Key Cryptosystems Constructed Based on Reed-Solomon Codes, K(XV)SE(2)PKC, Realizing Coding Rate of Exactly 1.0
In this paper, we present a new class of public-key cryptosystems, K(XV)SE(2)PKC realizing the coding rate of exactly 1.0, based on Reed-Solomon codes(RS codes). We show that K(XV)SE(2)PKC is secure against the various attacks including the attacks based on the Gröbner basis calculation (Gröbner basis attack, GB attack) and a linear transformation attack.
متن کاملA New Class of Public Key Cryptosystems Constructed Based on Perfect Error-Correcting Codes Realizing Coding Rate of Exactly 1.0
Abstract In this paper, we propose a new method for constructing the public-key cryptosystems based on a class of perfect error-correcting codes. The constructed PKC is referred to as K(IV)SE(1)PKC. In K(IV)SE(1)PKC, members of the class of perfect error correcting codes such as (7,4,3) cyclic Hamming code and (3,1,3) code {(000), (111)} is used, yielding a simple process of encryption and decr...
متن کاملPresentation of a new class of public key cryptosystems K(XIII)SE(1)PKC along with Kp(XIII)SE(1)PKC that realizes the coding rate of exactly 1.0, constructed by modifying K(XII)SE(1)PKC
In this paper, we present a new class of public key cryptosystems by modifying K(XII)SE(1)PKC [1], referred to as K(XIII)SE(1)PKC, and a particular class of K(XIII)SE(1)PKC, Kp(XIII)SE(1)PKC. We show that K(XIII)SE(1)PKC would improve both the coding rate and the security, compared with K(XII)SE(1)PKC. We also show that Kp(XIII)SE(1)PKC realizes the coding rate of exactly 1.0. In a sharp contra...
متن کاملNew Class of Multivariate Public Key Cryptosystem, K(XI)RSE(2)PKC, Constructed based on Reed-Solomon Code Along with K(X)RSE(2)PKC over F2
Extensive studies have been made of the public key cryptosystems based on multivariate polynomials (Multi-variate PKC, MPKC) over F2 and F2m . However most of the proposed MPKC are proved not secure. In this paper, we propose a new class of MPKC based on Reed-Solomon code, referred to as K(XI)RSE(2)PKC. In Appendix, we present another class of MPKC referred to as K(X)RSE(2)PKC over F2. Both K(X...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- IACR Cryptology ePrint Archive
دوره 2011 شماره
صفحات -
تاریخ انتشار 2011