A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS

Volume: 9 Number: 2 June 1, 2019
  • P. K. Ray
  • B. K. Patel
  • D. P. Chowdhury
  • S. Kujur
EN

A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS

Abstract

In this article, a new approach to the study of image scrambling based on balancing numbers, balancing transformation is presented. The properties of the proposed transformation and its periodicity are studied in details. In order to reduce the periods of the balancing transformation, we separate the consecutive pixels as far as possible from each other in that domain of the digital images.

Keywords

References

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  2. [2] Behera, A., Panda, G. K., (1999), On the square roots of triangular numbers, The Fibo. Quart., 37 (2), pp. 98-105.
  3. [3] Bing, L., Jia-wei, X., (2005), Period of Arnold transformation and it’s application in image scrambling, J. Cent. South Univ. Tech., 12 (1), pp. 278-282.
  4. [4] Chang, C., Lin, I., YU, Y., (2006), A new stenographic method for color and gray scale image hiding, Computer Vision and Image Understanding, 20.
  5. [5] Dong-XU, Q., Jian-cheag, Z., Xiao-you, H., (2000), A new class of scrambling transformation and it’s application in the image information covering, Since in China(Series E), 43 (3), pp. 307-312.
  6. [6] Mishra, M., Mishra, P., Adhikary, M. C., Kumar, S., (2012), Image encryption using Fibonacci-Lucas transformation, Inter. Jour. On Cryptography and Information Security, 2(2), pp. 131-141.
  7. [7] Panda, G. K., (2009), Some fascinating properties of balancing numbers, Proc. of the eleventh Inter. Conf. on Fibo. Nos. and Their Applications., Congr. Numer., 194, pp. 185-189.
  8. [8] Panda, G. K., Ray, P. K., (2011), Some links of balancing and cobalancing numbers with Pell and associated Pell numbers, Bulletin of the Institute of Mathematics, Academia Sinica (New Series), 6(1), pp. 41-72.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

P. K. Ray This is me

B. K. Patel This is me

D. P. Chowdhury This is me

S. Kujur This is me

Publication Date

June 1, 2019

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2019 Volume: 9 Number: 2

APA
Ray, P. K., Patel, B. K., Chowdhury, D. P., & Kujur, S. (2019). A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS. TWMS Journal of Applied and Engineering Mathematics, 9(2), 287-293. https://izlik.org/JA88EC68LY
AMA
1.Ray PK, Patel BK, Chowdhury DP, Kujur S. A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS. JAEM. 2019;9(2):287-293. https://izlik.org/JA88EC68LY
Chicago
Ray, P. K., B. K. Patel, D. P. Chowdhury, and S. Kujur. 2019. “A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS”. TWMS Journal of Applied and Engineering Mathematics 9 (2): 287-93. https://izlik.org/JA88EC68LY.
EndNote
Ray PK, Patel BK, Chowdhury DP, Kujur S (June 1, 2019) A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS. TWMS Journal of Applied and Engineering Mathematics 9 2 287–293.
IEEE
[1]P. K. Ray, B. K. Patel, D. P. Chowdhury, and S. Kujur, “A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS”, JAEM, vol. 9, no. 2, pp. 287–293, June 2019, [Online]. Available: https://izlik.org/JA88EC68LY
ISNAD
Ray, P. K. - Patel, B. K. - Chowdhury, D. P. - Kujur, S. “A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS”. TWMS Journal of Applied and Engineering Mathematics 9/2 (June 1, 2019): 287-293. https://izlik.org/JA88EC68LY.
JAMA
1.Ray PK, Patel BK, Chowdhury DP, Kujur S. A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS. JAEM. 2019;9:287–293.
MLA
Ray, P. K., et al. “A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 2, June 2019, pp. 287-93, https://izlik.org/JA88EC68LY.
Vancouver
1.P. K. Ray, B. K. Patel, D. P. Chowdhury, S. Kujur. A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS. JAEM [Internet]. 2019 Jun. 1;9(2):287-93. Available from: https://izlik.org/JA88EC68LY