A Geometric Sequence Binarized with Legendre Symbol over Odd Characteristic Field and Its Properties-Reference-Cited by-同舟云学术

A Geometric Sequence Binarized with Legendre Symbol over Odd Characteristic Field and Its Properties

Published:2014 Issue:12 Volume:E97.A Page:2336-2342
ISSN:0916-8508
Container-title:IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
language:en
Short-container-title:IEICE Trans. Fundamentals

Author:

NOGAMI Yasuyuki¹,TADA Kazuki¹,UEHARA Satoshi²

Affiliation:

1. Graduate School of Natural Science and Technology, Okayama University

2. Graduate School of Environmental Engineering, The University of Kitakyushu

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing

Link

https://www.jstage.jst.go.jp/article/transfun/E97.A/12/E97.A_2336/_pdf

Reference17 articles.

1. [1] S.W. Golomb, Shift Register Sequences, Holden-Day, San Francisco, 1967.

2. [2] N. Zierler, Legendre Sequence, M.I.T. Lincoln Publications, 1958.

3. [3] J.S. No, H.K. Lee, H. Chung, H.Y. Song, and K. Yang, “Trace representation of legendre sequences of mersenne prime period,” IEEE Trans. Inf. Theory, vol.42, pp.2254-2255, 1996.

4. [4] C. Ding, T. Helleseth, and W. Shan, “On the linear complexity of Legendre sequences,” IEEE Trans. Inf. Theory, vol.44, pp.1276-1278, 1998.

5. [5] S. Kobayashi, Y. Nogami, and T. Sugimura, “A relation between self-reciprocal transformation and normal basis over odd characteristic field,” IEICE Trans. Fundamentals, vol.E93-A, no.11, pp.1923-1931, Nov. 2010.

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