Optimal codebooks achieving the Levenshtein bound from generalized bent functions over ℤ 4 $\mathbb {Z}_{4}$-Reference-Cited by-同舟云学术

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Optimal codebooks achieving the Levenshtein bound from generalized bent functions over ℤ 4 $\mathbb {Z}_{4}$

Published:2016-06-11 Issue:1 Volume:9 Page:41-53
ISSN:1936-2447
Container-title:Cryptography and Communications
language:en
Short-container-title:Cryptogr. Commun.

Author:

Heng Ziling,Yue Qin

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Networks and Communications

Link

http://link.springer.com/content/pdf/10.1007/s12095-016-0194-5.pdf

Reference32 articles.

1. Brown, E.H.: Generalizations of the Kervaire invariant. Annals. Math. 95(2), 368–383 (1972)

2. Christensen, O.: An Introduction to Frames and Risez Bases. Birkhäuser, MA, USA (2003)

3. Calderbank A.R., Cameron, P.J., Kantor, W.M., Seidel, J.J.: ℤ 4 $\mathbb {Z}_{4}$ -kerdock codes, orthogonal spreads, and extremal Euclidean line-sets. Proc. London Math. Soc. 75(3), 436–480 (1997)

4. Conway, J.H., Harding, R.H., Sloane, N.J.A.: Packing lines, planes, etc.: Packings in grassmannian spaces. Exp. Math. 5(2), 139–159 (1996)

5. Carlet, C., Mesnager, S.: Four decades of research on bent functions. Des. Codes Crypt. 78, 5–50 (2016)

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