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Finite p-Groups, Entropy Vectors, and the Ingleton Inequality for Nilpotent Groups

JOURNAL ARTICLE published July 2014 in IEEE Transactions on Information Theory

Authors: Pirita Paajanen

https://doi.org/10.1109/tit.2014.2321561 Actions

On Ingleton-Violating Finite Groups

JOURNAL ARTICLE published January 2017 in IEEE Transactions on Information Theory

Research funded by National Science Foundation (CNS-0932428,CCF-1018927,CCF-1423663,CCF-1409204)

Authors: Wei Mao | Matthew Thill | Babak Hassibi

https://doi.org/10.1109/tit.2016.2627530 Actions

Finite nilpotent and metacyclic groups never violate the Ingleton inequality

PROCEEDINGS ARTICLE published June 2012 in 2012 International Symposium on Network Coding (NetCod)

Authors: Radu Stancu | Frederique Oggier

https://doi.org/10.1109/netcod.2012.6261879 Actions

Counterexamples to a Proposed Stam Inequality on Finite Groups

JOURNAL ARTICLE published April 2010 in IEEE Transactions on Information Theory

Authors: Venkat Anantharam

https://doi.org/10.1109/tit.2010.2040972 Actions

Beyond the Entropy Power Inequality, via Rearrangements

JOURNAL ARTICLE published September 2014 in IEEE Transactions on Information Theory

Research funded by National Science Foundation (DMS-1409504,CCF-1346564)

Authors: Liyao Wang | Mokshay Madiman

https://doi.org/10.1109/tit.2014.2338852 Actions

The Entropy Power Inequality for Quantum Systems

JOURNAL ARTICLE published March 2014 in IEEE Transactions on Information Theory

Authors: Robert Konig | Graeme Smith

https://doi.org/10.1109/tit.2014.2298436 Actions

Series, Soluble Groups and Nilpotent Groups

BOOK CHAPTER published November 1999 in Finite Groups

https://doi.org/10.1142/9789812815248_0002 Actions

The Entropy Power Inequality and Mrs. Gerber's Lemma for Groups of Order <inline-formula> <tex-math notation="TeX">${2^{n}}$ </tex-math></inline-formula>

JOURNAL ARTICLE published July 2014 in IEEE Transactions on Information Theory

Research funded by Army Research Office Multidisciplinary University Research Initiative Program (W911NF-08-1-0233) | National Science Foundation (NSF) (CNS-0910702) | NSF Science and Technology Center (CCF-0939370)

Authors: Varun Jog | Venkat Anantharam

https://doi.org/10.1109/tit.2014.2317692 Actions

A New Entropy Power Inequality for Integer-Valued Random Variables

JOURNAL ARTICLE published July 2014 in IEEE Transactions on Information Theory

Research funded by National Science Foundation (CIF-1706648)

Authors: Saeid Haghighatshoar | Emmanuel Abbe | I. Emre Telatar

https://doi.org/10.1109/tit.2014.2317181 Actions

Absolute Maximum Nonlinear Functions on Finite Nonabelian Groups

JOURNAL ARTICLE published August 2020 in IEEE Transactions on Information Theory

Authors: Bangteng Xu

https://doi.org/10.1109/tit.2020.2987794 Actions

Group codes generated by finite reflection groups

JOURNAL ARTICLE published March 1996 in IEEE Transactions on Information Theory

Authors: T. Mittelholzer | J. Lahtonen

https://doi.org/10.1109/18.485721 Actions

Violating the Ingleton inequality with finite groups

PROCEEDINGS ARTICLE published September 2009 in 2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton)

Authors: Wei Mao | Babak Hassibi

https://doi.org/10.1109/allerton.2009.5394878 Actions

Wreath products of finite groups and their representation theory

BOOK CHAPTER published 16 January 2014 in Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

https://doi.org/10.1017/cbo9781107279087.003 Actions

Equivalence for Rank-Metric and Matrix Codes and Automorphism Groups of Gabidulin Codes

JOURNAL ARTICLE published November 2014 in IEEE Transactions on Information Theory

Research funded by National Science Foundation (DMS-0735099,DMS-0903517,DMS-0838463) | U.S. Department of Education (P200A090002)

Authors: Katherine Morrison

https://doi.org/10.1109/tit.2014.2359198 Actions

Line Codes Generated by Finite Coxeter Groups

JOURNAL ARTICLE published March 2019 in IEEE Transactions on Information Theory

Authors: Ezio Biglieri | Emanuele Viterbo

https://doi.org/10.1109/tit.2018.2868453 Actions

Entropy Bounds on Abelian Groups and the Ruzsa Divergence

JOURNAL ARTICLE published January 2018 in IEEE Transactions on Information Theory

Research funded by Division of Computing and Communication Foundations (1346564) | Division of Mathematical Sciences (1409504)

Authors: Mokshay Madiman | Ioannis Kontoyiannis

https://doi.org/10.1109/tit.2016.2620470 Actions

p-Groups and Nilpotent Groups

BOOK CHAPTER published 2004 in The Theory of Finite Groups

Authors: Hans Kurzweil | Bernd Stellmacher

https://doi.org/10.1007/0-387-21768-1_5 Actions

Dynamical systems and convolutional codes over finite Abelian groups

JOURNAL ARTICLE published 1996 in IEEE Transactions on Information Theory

Authors: F. Fagnani | S. Zampieri

https://doi.org/10.1109/18.556683 Actions

Calculation of Fourier transforms on finite Abelian groups (Corresp.)

JOURNAL ARTICLE published March 1970 in IEEE Transactions on Information Theory

Authors: G. Apple | P. Wintz

https://doi.org/10.1109/tit.1970.1054420 Actions

Wavelet transforms associated with finite cyclic groups

JOURNAL ARTICLE published July 1993 in IEEE Transactions on Information Theory

Authors: G. Caire | R.L. Grossman | H.V. Poor

https://doi.org/10.1109/18.243435 Actions
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