---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/CodingTheory/LinearCodesOverZ4/bibliography.html"
source: "https://docs.magma-maths.org/CodingTheory/LinearCodesOverZ4/bibliography.md"
part: "Coding Theory"
chapter: "Linear Codes over the Integer Residue Ring ${\\mathbb{Z}}_4$"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Coding Theory", "source": "../index-coding-theory.md"}
  - {"title": "Linear Codes over the Integer Residue Ring ${\\mathbb{Z}}_4$", "source": "index-linear-codes-over-z4.md"}
prev: {"title": "Automorphism Groups", "source": "aut_group.md"}
next: {"title": "Additive Codes", "source": "../AdditiveCodes/index-additive-codes.md"}
---

# Bibliography

<a id="cite-lift"></a>
- **[BZ01]** N.S. Babu and K.H. Zimmermann. Decoding of linear codes over Galois rings. *IEEE Trans. on Information Theory*, 47(4):1599–1603, 2001.
<a id="cite-bv2015b"></a>
- **[BV16a]** R. Barrolleta and M. Villanueva. PD-sets for $\Z_4$-linear codes: Hadamard and Kerdock codes. *Proceedings of the IEEE International Symposium on Information Theory*, 2016.
<a id="cite-bv2015a"></a>
- **[BV16b]** R. Barrolleta and M. Villanueva. Partial permutation decoding for binary linear and $\Z_4$-linear Hadamard codes. Submitted to Designs, Codes and Cryptography, arXiv:1512.01839, 2016.
<a id="cite-bebofevi"></a>
- **[BBFCV15]** J. J. Bernal, J. Borges, C. Fernández-Córboda, and M. Villanueva. Permutation decoding of $\Z_2\Z_4$-linear codes. *Des. Codes and Cryptogr.*, 76(2):269–277, 2015.
<a id="cite-fepuvi08"></a>
- **[FCPV08]** C. Fernández-Córdoba, J. Pujol, M. Villanueva. “On rank and kernel of $\Z_4$-linear codes.” In Coding Theory and Applications. 46–55. 2008.
<a id="cite-fepuvi08a"></a>
- **[FCPV10]** C. Fernández-Córdoba, J. Pujol, and M. Villanueva. $\Z_2\Z_4$-linear codes: rank and kernel. *Designs, Codes and Cryptography*, 56(1):43–59, 2010.
<a id="cite-lift2"></a>
- **[GV98]** M. Greferath and U. Velbinger. Efficient decoding of $\Z_{p^k}$-linear codes. *IEEE Trans. on Information Theory*, 44:1288–1291, 1998.
<a id="cite-sole"></a>
- **[HKC+94]** A.R. Hammons, P.V. Kumar, A.R. Calderbank, N.J.A. Sloane, and P. Solé. The $\Z_4$-linearity of kerdock, preparata, goethals and related codes. *IEEE Trans. on Information Theory*, 40:301–319, 1994.
<a id="cite-sloane"></a>
- **[MS78]** F.J. MacWilliams and N.J.A. Sloane. *The Theory of Error-Correcting Codes*. North Holland, New York, 1978. ISBN 0-444-850090.
<a id="cite-vzp2015"></a>
- **[VZP15]** M. Villanueva, F. Zeng, and J. Pujol. Efficient representation of binary nonlinear codes: constructions and minimum distance computation. *Designs, Codes and Cryptography*, 76(1):3–21, 2015.
<a id="cite-wan-z4"></a>
- **[Wan97]** Zhe-Xian Wan. *Quaternary Codes*. Volume 8 of Series on Applied Mathematics. World Scientific, Singapore, 1997.