1-Generator quasi-cyclic and generalized quasi-cyclic codes over the ring $$\frac{{{\mathbb {Z}_4}[u]}}{{\left\langle {{u^2} - 1}\right\rangle }}$$ Z 4 [ u ] u 2

1-Generator quasi-cyclic and generalized quasi-cyclic codes over the ring $$\frac{{{\mathbb {Z}_4}[u]}}{{\left\langle {{u^2} - 1}\right\rangle }}$$ Z 4 [ u ] u 2 - 1

Published:2017-02-20 Issue:6 Volume:28 Page:457-467
ISSN:0938-1279
Container-title:Applicable Algebra in Engineering, Communication and Computing
language:en
Short-container-title:AAECC

Author:

Gao Yun,Gao Jian,Wu Tingting,Fu Fang-Wei

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Link

http://link.springer.com/article/10.1007/s00200-017-0315-1/fulltext.html

Reference14 articles.

1. Aydin, N., Asamov, T.: The $$\mathbb{Z}_{4}$$ Z 4 database [Online]. http://z4codes.info/ . Accessed 20 Jan 2016

2. Aydin, N., Ray-Chaudhuri, D.K.: Quasi-cyclic codes over $$\mathbb{Z}_4$$ Z 4 and some new binary codes. IEEE Trans. Inf. Theory 48, 2065–2069 (2009)

3. Bandi, R.K., Bhaintwal, M., Aydin, N.: A mass formula for negacyclic codes of length $$2^k$$ 2 k and some good negacyclic codes over $$\mathbb{Z}_4+u\mathbb{Z}_4$$ Z 4 + u Z 4 . Cryptogr. Commun. (2015). doi: 10.1007/s12095-015-0172-3

4. Cao, Y.: Structural properties and enumeration of 1-generator generalized quasi-cyclic codes. Des. Codes Cryptogr. 60, 67–79 (2011)

5. Chen, Z.: Tables of binary quasi-cyclic codes [Online]. http://www.tec.hkr.se/chen/research/codes/

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