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Lattices Which Are Good for (Almost) Everything
Abstract
We define an ensemble of lattices, and show that for asymptotically high dimension most of its members are simultaneously good as sphere packings, sphere coverings, additive white Gaussian noise (AWGN) channel codes and mean-squared error (MSE) quantization codes. These lattices are generated by applying Construction A to a random linear code over a prime field of growing size, i.e., by "lifting" the code to /spl Ropf//sup n/.
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Cited by
Compute-and-Forward: Harnessing Interference Through Structured Codes
Nazer, B., & Gastpar, M. (2011) · IEEE Transactions on Information Theory · doi:10.1109/tit.2011.2165816 · Cited by 990
Computation Over Multiple-Access Channels
Nazer, B., & Gastpar, M. (2007) · IEEE Transactions on Information Theory · doi:10.1109/tit.2007.904785 · Cited by 753
Achieving<tex>$ 1over 2log (1+ hboxSNR)$</tex>on the AWGN Channel With Lattice Encoding and Decoding
Erez, U., & Zamir, R. (2004) · IEEE Transactions on Information Theory · doi:10.1109/tit.2004.834787 · Cited by 732
Self-citationInformation Theoretic Security
Liang, Y., Poor, H. V., & Shamai (Shitz), S. (2007) · now publishers, Inc. eBooks · doi:10.1561/9781601982414 · Cited by 686
Joint Physical Layer Coding and Network Coding for Bidirectional Relaying
Wilson, M. P., Narayanan, K., Pfister, H. D., & Sprintson, A. (2010) · IEEE Transactions on Information Theory · doi:10.1109/tit.2010.2068750 · Cited by 494
Metadata
- Authors
- Erez, U., Litsyn, S., & Zamir, R.
- Venue
- IEEE Transactions on Information Theory
- Published
- 2005-10
- Volume
- 51
- Issue
- 10
- Pages
- 3401-3416
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2122621581
- Cited by
- 365
- References
- 0
- FWCI
- 14.77
- Type
- journal article
- Language
- en
- Open access
- closed
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