On the Labeling Problem of Permutation Group Codes Under the Infinity Metric

IEEE Transactions on Information Theory ◽

10.1109/tit.2012.2204035 ◽

2012 ◽

Vol 58 (10) ◽

pp. 6595-6604 ◽

Author(s):

Itzhak Tamo ◽

Moshe Schwartz

Keyword(s):

Permutation Group ◽

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A TFSK transceiver combining (n, n(n-1), n-1) permutation group codes with MFSK

2017 IEEE 9th International Conference on Communication Software and Networks (ICCSN) ◽

10.1109/iccsn.2017.8230079 ◽

2017 ◽

Author(s):

Li Peng ◽

Gaofeng Li ◽

Kun Liang ◽

Bo Zhou

Keyword(s):

Permutation Group ◽

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Time-Frequency Division Multiple Access and the TFDMA Ad Hoc Network Based on the (n, n(n-1), n-1) Permutation Group Codes

2020 IEEE International Symposium on Information Theory (ISIT) ◽

10.1109/isit44484.2020.9174289 ◽

2020 ◽

Author(s):

Li Peng

Keyword(s):

Permutation Group ◽

Ad Hoc Network ◽

Multiple Access ◽

Ad Hoc ◽

Frequency Division ◽

Group Codes ◽

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On the labeling problem of permutation group codes under the infinity metric

2011 IEEE International Symposium on Information Theory Proceedings ◽

10.1109/isit.2011.6034263 ◽

2011 ◽

Author(s):

Itzhak Tamo ◽

Moshe Schwartz

Keyword(s):

Permutation Group ◽

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The Construction of Permutation Group Codes for Communication Systems: Prime or Prime Power?

IEEE Access ◽

10.1109/access.2020.2985119 ◽

2020 ◽

Vol 8 ◽

pp. 69953-69966

Author(s):

Li Peng ◽

Sijia Chen ◽

Shuxia Guo

Keyword(s):

Permutation Group ◽

Communication Systems ◽

Prime Power ◽

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Equidistant permutation group codes

Designs Codes and Cryptography ◽

10.1007/s10623-021-00997-y ◽

2022 ◽

Author(s):

Fatemeh Jafari ◽

Alireza Abdollahi ◽

Javad Bagherian ◽

Maryam Khatami ◽

Reza Sobhani

Keyword(s):

Permutation Group ◽

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Rank permutation group codes based on Kendall's correlation statistic

IEEE Transactions on Information Theory ◽

10.1109/tit.1969.1054291 ◽

1969 ◽

Vol 15 (2) ◽

pp. 306-315 ◽

Author(s):

H. Chadwick ◽

L. Kurz

Keyword(s):

Permutation Group ◽

Group Codes ◽

Correlation Statistic

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The Generation of $(n,n(n-1),n-1)$ Permutation Group Codes for Communication Systems

IEEE Transactions on Communications ◽

10.1109/tcomm.2019.2902149 ◽

2019 ◽

Vol 67 (7) ◽

pp. 4535-4549 ◽

Author(s):

Li Peng

Keyword(s):

Permutation Group ◽

Communication Systems ◽

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On Permutation Group Codes For The Gaussian Channel

Proceedings. 1991 IEEE International Symposium on Information Theory ◽

10.1109/isit.1991.695406 ◽

2005 ◽

Author(s):

I. Ingemarsson ◽

Zeng-Duo Dai

Keyword(s):

Permutation Group ◽

Gaussian Channel ◽

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( n , n ( n ‐1), n ‐1) Permutation group codes

Electronics Letters ◽

10.1049/el.2015.3997 ◽

2016 ◽

Vol 52 (9) ◽

pp. 706-708 ◽

Author(s):

Li Peng

Keyword(s):

Permutation Group ◽

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The complements in an affine group

Studia Scientiarum Mathematicarum Hungarica ◽

10.1556/sscmath.50.2013.2.1239 ◽

2013 ◽

Vol 50 (2) ◽

pp. 258-265

Author(s):

Pál Hegedűs

Keyword(s):

Permutation Group ◽

Structural Similarity ◽

Affine Group ◽

Permutation Module ◽

Regular Module ◽

Brauer Characters

In this paper we analyse the natural permutation module of an affine permutation group. For this the regular module of an elementary Abelian p-group is described in detail. We consider the inequivalent permutation modules coming from nonconjugate complements. We prove their strong structural similarity well exceeding the fact that they have equal Brauer characters.

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