Skip to main content
SpringerLink
Log in

Butson Hadamard matrices with partially cyclic core

  • Published:
Designs, Codes and Cryptography Aims and scope Submit manuscript

Abstract

In this paper, we introduce a class of generalized Hadamard matrices, called a Butson Hadamard matrix with partially cyclic core. Then a new construction method for Butson Hadamard matrices with partially cyclic core is proposed. The proposed matrices are constructed from the optimal balanced low-correlation zone(LCZ) sequence set which has correlation value −1 within LCZ.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. McWilliams FJ and Sloane NJA (1977). The theory of error-correcting codes. North-Holland, New York

    Google Scholar 

  2. Again SS (1988). Hadamard matrices and their applications. Lecture Notes in Mathematics 1168. Springer-Verlag, New York

    Google Scholar 

  3. Butson AT (1962). Generalized Hadamard matrices. Proc Am Math Soc 13: 894–898

    Article  MathSciNet  Google Scholar 

  4. Sloane NJA A library of Hadamard matrices. Manuscript available at http://research.att.com/njas/hadamard/index.html

  5. Long B, Zhang P and Hu J (1998). A generalized QS-CDMA system and the design of new spreading codes. IEEE Trans Veh Technol 47: 1268–1275

    Article  Google Scholar 

  6. Tang XH, Fan PZ and Matsufuji S (2000). Lower bounds on correlation of spreading sequence set with low or zero correlatoin zone. Electon Lett 36(6): 551–552

    Article  Google Scholar 

  7. Tang XH and Fan PZ (2001). A class of pseudonoise sequences over GF(p) with low-correlation zone. IEEE Trans Inform Theory 47(4): 1644–1649

    Article  MATH  MathSciNet  Google Scholar 

  8. Kim SH, Jang JW, No JS and Chung H (2005). New constructions of quaternary low-correlation zone sequences. IEEE Trans Inform Theory 51(4): 1469–1477

    Article  MathSciNet  Google Scholar 

  9. Klapper A (1995). d-form sequence: families of sequences with low-correlation values and large linear spans. IEEE Trans Inform Theory 41(2): 423–431

    Article  MATH  MathSciNet  Google Scholar 

  10. Jang JW, No JS and Chung H (2006). A new construction of optimal p 2-ary low-correlation zone sequences using unified sequences. IEICE Transactions on Fundamentals of Electronics. Commun Comput Sci E89-A(10): 2656–2661

    Article  Google Scholar 

  11. Jang JW, No JS, Chung H, Tang XH (2007) New sets of optimal p-ary low-correlation zone sequences. IEEE Trans Inform Theory 53(2): 815–821

    Google Scholar 

  12. No JS (2002). p-ary unified sequences: p-ary extended d-form sequences with ideal autocorrelation property. IEEE Trans Inform Theory 48(9): 2540–2546

    Article  MATH  MathSciNet  Google Scholar 

  13. Welch LR (1974). Lower bounds on the maximum cross correlation of signals. IEEE Trans Inform Theory 20(3): 397–399

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electrical Engineering and Computer Science, Seoul National University, Seoul, 151-744, Korea

    Ji-Woong Jang & Jong-Seon No

  2. School of Electronics and Electrical Engineering, Hongik University, Seoul, 121-791, Korea

    Habong Chung

Authors
  1. Ji-Woong Jang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jong-Seon No
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Habong Chung
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jong-Seon No.

Additional information

Communicated by J. Jedwab.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jang, JW., No, JS. & Chung, H. Butson Hadamard matrices with partially cyclic core. Des Codes Crypt 43, 93–101 (2007). https://doi.org/10.1007/s10623-007-9065-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10623-007-9065-6

Keywords

AMS Classifications

Search

Navigation