Jacobi’s Construction Method Codes for Zero Cross-Correlation OCDMA Systems


  • Abdellah Bensaad saida university, Algeria
  • Ahmed Garadi Saida University, Algeria
  • Abbes Beloufa Mascara University, Algeria
  • Zouaoui Bensaad Djillali Liabes University(SBA), Algeria


Jacobi's Function, Multiple Access Interface (MAI), Optical Code Division Multiple Access (OCDMA), Zero Cross Correlation (ZCC) Code


In this paper, we present a new code design for the Optical Code Division Multiple Access (OCDMA) system based on the Jacobi function. One of the major factors limiting the performance of OCDMA systems is known as Multiple Access Interference (MAI). A good code design provides a minimum cross-correlation, maximum number of users with minimum
code length, and implementation flexibility to remove the MAI effectively. The use of finite field arithmetic’s in the construction of our proposed code yield a zero cross-correlation (ZCC) which is the least desired value. Theoretical analysis and simulation results show that the proposed code outperforms the previously reported codes with zero maximum cross-correlation. Thus, the Multiple Access Interference (MAI) and Phase-Induced intensity noise (PIIN) effects are eliminated, improving the system’s performance. The system can accommodate more simultaneous users than other codes at a standard acceptable bit error rate value (≤10-9). Furthermore, the construction method offers flexibility in choosing between the number of users, the weight, and the code length.


Aljunid, S. A. Ismail, M. Ramli, A. R. Ali, B. M. & Abdullah, M. K. “A new family of optical code sequences for spectral-amplitude-coding optical CDMA systems”, IEEE Photonics Technology Letters, 16 (10),2383-2385, 2004.

N. Kaur, N. Goyal, R. Rani, M. “A review on spectral amplitude coding optical code division multiple access”, J. Opt. Commun., 38, 77–85, 2017.

Syed Alwee, Aljunid, Zuraidah Zan, Siti Barirah Ahmad Anas and Mohd. Khazani Abdullah, “A new code for optical code division multiple access systems”, Malaysian Journal of Computer Science, Vol. 17 No. 2, pp. 30-39, December 2004.

J.A. Salehi, “Code division multiple access techniques in optical fiber network – Par I: Fundamental principles”, IEEE Trans. Commun., 37 pp. 824–833, 1989.

Morsy A. Morsy, Abdulaziz S. Alsayyar, ‘’Performance analysis of OCDMA wireless communication system based on double length modified prime code for security improvement’’, IET Communications, ISSN 1751-8628, Vol. 14, Issue 7, 2020.

Majeed, M. H., & Ahmed, R. K, ‘’Performance Enhancement of Encoding–Decoding Multidiagonal and Walsh Hadamard Codes for Spectral Amplitude Coding-Optical Code Division Multiple Access (SAC-OCDMA) Utilizing Dispersion Compensated Fiber’’, Journal of Optical Communications, 2020.

M. Bharti, A. Sharma, M. Kumar, ‘’Simulative analysis of 2-code keying approach using Walsh Hadamard codes to enhance security and reduce dispersion in OCDMA system’’, IEEE International Conference on Data Mining and Intelligent Computing, 2014.

Soma Kumawat, M. Ravi Kumar, ‘’new code construction algorithm based on Double Weight codes for SAC-OCDMA Systems’’, International Conference on Computer, Communications and Electronics (Comptelix), IEEE, 2017.

H.A. Fadhil, S.A. Aljunid, R.B. Ahmed, “Effect of random diagonal code link parameters on the performance of an OCDMA scheme for high-speed access networks”, J. Opt. Fiber Technol., 15, 237–241, 2009.

Abhijit Das, C. E. Veni Madhavan, “Public-key Cryptography: Theory and Practice”, Pearson Education India, 2009.

N. Ahmed, S. A. Aljunid, R. B. Ahmad, M. A. Rashid, ‘’Novel OCDMA Detection Technique based on Modified Double Weight Code for Optical Access Network’’, Elektronika IR Elektrotechnika, ISNN 1392-1215, Vol. 18, No. 8, 2012.

M.S. Anuar, S.A. Aljunid, N.M. Saad, S.M. Hamzah, “New design of spectral amplitude coding in OCDMA with zero cross-correlation”, optics communication 282 2659-2664, 2009.

Anuar Mat Safar, Syed Alwee Aljunid, Amir Razif Arief Jamil Abdullah, Junita Mohd Nordin, Mohamad Naufal Mohamad Saad, “Performance Analysis of Optical Zero Cross-Correlation Code in OCDMA System”, Journal of Applied Sciences, 7 (23), 3819-3822, 2007.

M.S. Anuar, S.A. Aljunid, N.M. Saad, I. Andonovic, “Development of a Zero Cross-Correlation Code for Spectral-Amplitude Coding Optical Code Division Multiple Access (OCDMA) “, IJCSNS International Journal of Computer Science and Network Security, VOL.6 No.12, December 2006.

S. Kaur, S. Singh, “Review on developments in all-optical spectral amplitude coding techniques”, Optical Engineering 57(11), 116102, November 2018.

K.S. Nisar, ‘’Construction of zero cross correlation code using a type of anti-diagonal identity column block matrices’’, Optik: Int. J. Light Electron Opt.125, 6586–6588, June, 2014.

K. Nisar, ‘’Construction Zero Cross Correlation Code using Permutation Matrix for SAC-OCDMA Systems’’ International Journal of Open Information Technologies, ISSN: 2307-8162 vol. 4, no. 3, 2016.

M Alayedi, A Cherifi, A F Hamida, C.B.M Rashidi and B.S Bouazza, ‘’Performace improvement of multi access OCDMA system based on a new zero cross correlation code’’, IOP Conf. Series: Materials Science and Engineering 767-012042, 2020.

Simarpreet Kaur, Simranjit Singh, ‘’A Novel Zero Cross-correlation Diagonal dentity Matrix Code’’, 6th Edition of International Conference on Wireless Networks & Embedded Systems (WECON), 2018.

C. B. M. Rashidi, M. S Anuar, S. A. Aljunid, ‘’Study of Direct Detection echnique for Zero Cross Correlation Code in OCDMA’’ International Conference on Computer and Communication Engineering (ICCCE 2010), Kuala Lumpur, Malaysia, 11-13 May 2010.

Soma Kumawat, M. Ravi Kumar, ‘’Generalized optical code construction for enhanced and Modified Double Weight like codes without mapping for SAC–OCDMA systems’’, Optical Fiber Technology 30, 72–80, 2016.

Z. H. Wei, Ghafouri-Shiraz, “Codes for Spectral-Amplitude-Coding Optical CDMA Systems”, Lightwave Technology, vol. 50, no. 8, pp. 1209–1212, 2002.

H. Ghafouri-Shiraz, ‘’Optical CDMA Networks, Principle, Analysis and Applications’’, A John Wiley & Sons, Ltd., Publication, 2012.

G. Ahmed, A. Djebbari, Taleb-Ahmed Abdelmalik, ‘’Exact analysis of signal-to-noise ratio for SAC-OCDMA system with direct detection’’, Optik 145, 89–94, 2017.

Ashwin Gumaste, Tony Antony “DWDM Network Designs and Engineering Solutions “, Publisher: Cisco Press Pub Date: December 13, 2002.




How to Cite

Bensaad, A., Garadi, A., Beloufa, A., & Bensaad, Z. (2021). Jacobi’s Construction Method Codes for Zero Cross-Correlation OCDMA Systems. Journal of Telecommunication, Electronic and Computer Engineering (JTEC), 13(3), 41–45. Retrieved from https://jtec.utem.edu.my/jtec/article/view/6129