The binary primes sequence for computational hardening of pseudorandom sequences

نویسندگان

  • B. Prashanth Reddy
  • Subhash C. Kak
چکیده

This paper proposes the use of the binary primes sequence to strengthen pseudorandom (PN) decimal sequences for cryptography applications. The binary primes sequence is added to the PN decimal sequence (where one can choose from many arbitrary shift values) and it is shown that the sum sequence has improved autocorrelation properties besides being computationally hard. Also, an analysis on the computational complexity is performed and it is shown that the complexity for the eavesdropper is of the order O(N N) and therefore, the proposed method is an attractive procedure for cryptographic applications.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Correlation of the two-prime Sidel'nikov sequence

Motivated by the concepts of Sidel’nikov sequences and two-prime generator (or Jacobi sequences) we introduce and analyze some new binary sequences called two-prime Sidel’nikov sequences. In the cases of twin primes and cousin primes equivalent 3 modulo 4 we show that these sequences are balanced. In the general case, besides balancedness we also study the autocorrelation, the correlation measu...

متن کامل

Linear complexity of quaternary sequences of length pq with low autocorrelation

The linear complexity L, of a sequence is an important parameter in its evaluation as a key stream cipher for cryptographic applications. Ideally, good sequences combine the autocorrelation properties of a random sequence with high linear complexity. Cyclotomic and generalized cyclotomic sequences are important pseudorandom sequences in stream ciphers due to their good pseudorandom cryptographi...

متن کامل

Concatenation of pseudorandom binary sequences

In the applications it may occur that our initial pseudorandom binary sequence turns out to be not long enough, thus we have to take the concatenation or merging of it with another pseudorandom binary sequences. Here our goal is study when can we form the concatenation of several pseudorandom binary sequences belonging to a given family? We introduce and study new measures which can be used for...

متن کامل

On the Period of the Linear Congruential and Power Generators

This sequence was first considered as a pseudorandom number generator by D. H. Lehmer. For the power generator we are given integers e, n > 1 and a seed u = u0 > 1, and we compute the sequence ui+1 = u e i (mod n) so that ui = u ei (mod n). A popular case is e = 2, which is called the Blum–Blum–Shub (BBS) generator. Both of these generators are periodic sequences, and it is of interest to compu...

متن کامل

On the Period of the Linear Congruential and Power Generators Pär Kurlberg and Carl Pomerance

This sequence was first considered as a pseudorandom number generator by D. H. Lehmer. For the power generator we are given integers e, n > 1 and a seed u0 > 1, and we compute the sequence ui+1 = u e i (mod n) so that ui = u ei 0 (mod n). A popular case is e = 2, which is called the Blum–Blum–Shub (BBS) generator. Both of these generators are periodic sequences, and it is of interest to compute...

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/1606.00410  شماره 

صفحات  -

تاریخ انتشار 2016