Browsing by Author "10045432900"

Now showing 1 - 2 of 2
  • No Thumbnail Available
    Publication
    Direct solutions of N-th order initial value problems in decomposition series
    (Freund Publishing House Ltd, 2007)
    Yahaya F.
    ;
    Hashim I.
    ;
    Ismail E.S.
    ;
    Zulkifle A.K.
    ;
    36933055900
    ;
    10043682500
    ;
    10045432900
    ;
    7801341335
    In this paper, a class of linear and non-linear nth-order initial value problems (IVPs) is considered. The solutions of these IVPs are obtained by adapting the modified Adomian decomposition method (MADM) as an algorithm for approximating the solutions of the equations in a sequence of time intervals (i.e. time steps). In this way the series solutions are valid for quite a long time span. Several test cases are chosen to demonstrate the performance of the multistage modified Adomian decomposition method (MMADM). �Freund Publishing House Ltd.
      4
  • No Thumbnail Available
    Publication
    Secure hybrid mode-based cryptosystem
    (2012)
    Ismail E.S.
    ;
    Baharudin S.
    ;
    10045432900
    ;
    55180778800
    Problem statement: A cryptosystem provides two parties; a sender and a receiver to communicate interactively via an insecure channel in which, the sender is able to send any confidential message, document or data in a disguised form to the intended receiver. Upon receiving the disguised message, the receiver converts it to the intelligible message using his secret key. The security of the existing cryptosystems was based on a single hard problem such as factorization, discrete logarithm, quadratic residue, or elliptic curve discrete logarithm. Although these schemes appear secure, one day in a near future they may be broken if one finds a solution of a single hard problem. Approach: To overcome the disadvantage of using a single hard problem, we developed a secure hybrid mode-based cryptosystem based on the two well-known hard problems; factoring and discrete logarithm. We inject the element of the hard problems into our encrypting and decrypting equations respectively in such a way that the former equation depends on two public keys whereas the latter depends on two corresponding secret keys. Results: The new cryptosystem is shown heuristically secure against various algebraic attacks. The efficiency analysis confirms that our scheme only needs 3T exp+T hash time complexity for encryption and 2 Texp time complexity for decryption and this magnitude of complexity is considered minimal for multiple hard problems-like cryptosystems. Conclusion: The newly developed hybrid mode based-cryptosystem provides greater security level than that schemes based on a single hard problem. The enemy or adversary has to solve the two problems simultaneously which is unlikely to happen in order to read any secret message. � 2012 Science Publications.
      1