The nonassociative algebras used to build fast-decodable space-time block codes
Let K/F and K/L be two cyclic Galois field extensions and D a cyclic algebra. Given an invertible element d in D, we present three families of unital nonassociative algebras defined on the direct sum of n copies of D. Two of these families appear either explicitly or implicitly in the designs of fas...
| Main Authors: | Pumpluen, Susanne, Steele, Andrew |
|---|---|
| Format: | Article |
| Published: |
American Institute of Mathematical Sciences
2015
|
| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/34232/ |
Similar Items
How to obtain division algebras used for fast-decodable space-time block codes
by: Pumpluen, Susanne
Published: (2014)
by: Pumpluen, Susanne
Published: (2014)
Fast-decodable MIDO codes from non-associative algebras
by: Pumpluen, Susanne, et al.
Published: (2015)
by: Pumpluen, Susanne, et al.
Published: (2015)
Tensor products of nonassociative cyclic algebras
by: Pumpluen, Susanne
Published: (2016)
by: Pumpluen, Susanne
Published: (2016)
New classes of nonassociative divison algebras and MRD codes
by: Thompson, Daniel
Published: (2021)
by: Thompson, Daniel
Published: (2021)
On the right nucleus of Petit algebras
by: Owen, Adam
Published: (2022)
by: Owen, Adam
Published: (2022)
How to obtain lattices from (f,σ,δ)-codes via a generalization of Construction A
by: Pumpluen, Susanne
Published: (2018)
by: Pumpluen, Susanne
Published: (2018)
Finite nonassociative algebras obtained from skew polynomials and possible applications to (f, σ, δ)-codes
by: Pumpluen, Susanne
Published: (2017)
by: Pumpluen, Susanne
Published: (2017)
Nonassociative differential extensions of characteristic p
by: Pumpluen, Susanne
Published: (2017)
by: Pumpluen, Susanne
Published: (2017)
Petit algebras and their automorphisms
by: Brown, Christian
Published: (2018)
by: Brown, Christian
Published: (2018)
The automorphisms of Petit's algebras
by: Brown, C., et al.
Published: (2017)
by: Brown, C., et al.
Published: (2017)
Incoherent hybrid subcarrier multiplexed spectral-amplitude-coding optical CDMA system using direct decoding detection technique
by: Sahbudin, Ratna Kalos Zakiah, et al.
Published: (2007)
by: Sahbudin, Ratna Kalos Zakiah, et al.
Published: (2007)
Nonassociative cyclic extensions of fields and central simple algebras
by: Brown, C., et al.
Published: (2018)
by: Brown, C., et al.
Published: (2018)
Development of a hybrid dynamic fuzzy encoder and decoder model for colour QR code
by: Badawi, Bakri
Published: (2022)
by: Badawi, Bakri
Published: (2022)
Bornological structures on some algebraic systems
by: Imran, Anwar Nooraldeen
Published: (2018)
by: Imran, Anwar Nooraldeen
Published: (2018)
Enhanced Verification-Based Decoding for Packet-Based LDPC Codes
by: Zhu, B., et al.
Published: (2008)
by: Zhu, B., et al.
Published: (2008)
Development of multi-service code family for spectral amplitude coding - optical code division multiple access systems
by: Kaka, Majid Hayas
Published: (2013)
by: Kaka, Majid Hayas
Published: (2013)
Classification of second-class 10-dimensional complex filiform Leibniz algebras
by: Mohd Kasim, Suzila
Published: (2014)
by: Mohd Kasim, Suzila
Published: (2014)
Block based low complexity iterative QR precoder structure for Massive MIMO
by: Mok, Li Suet
Published: (2021)
by: Mok, Li Suet
Published: (2021)
Nonassociative geometry in quasi-Hopf representation categories II: connections and curvature
by: Barnes, Gwendolyn E., et al.
Published: (2016)
by: Barnes, Gwendolyn E., et al.
Published: (2016)
Nonassociative geometry in quasi-Hopf representation categories I: bimodules and their internal homomorphisms
by: Barnes, Gwendolyn E., et al.
Published: (2015)
by: Barnes, Gwendolyn E., et al.
Published: (2015)
Classification of a subclass of filiform Leibniz algebra
by: Abdulkareem, Abdulafeez Olalekan
Published: (2014)
by: Abdulkareem, Abdulafeez Olalekan
Published: (2014)
Central extension of low dimensional associative and Leibniz algebras
by: Ab Rahman, Nurnazhifa
Published: (2020)
by: Ab Rahman, Nurnazhifa
Published: (2020)
Combinatorial structure associated with low-dimensional filiform leibniz algebras
by: Ahmad Jamri, Ayu Ameliatul Shahilah
Published: (2017)
by: Ahmad Jamri, Ayu Ameliatul Shahilah
Published: (2017)
The Grobner package in Maple and computer algebra system for solving multivariate polynomial equations / Shamsatun Nahar Ahmad and Nor'aini Aris
by: Ahmad, Shamsatun Nahar, et al.
Published: (2011)
by: Ahmad, Shamsatun Nahar, et al.
Published: (2011)
Design Of Direct Sequence Code Division Multiple Access (Ds-Cdma) Wireless Transmitter Using Field Programmable Gate Array (Fpga)
by: Osman, Khalid Eltahir Mohamed
Published: (2002)
by: Osman, Khalid Eltahir Mohamed
Published: (2002)
Derivations of some classes of Leibniz algebras
by: Ahmed I, Al-Nashri Al-Hossain
Published: (2013)
by: Ahmed I, Al-Nashri Al-Hossain
Published: (2013)
Classification of leibniz algebras over finite fields
by: Mohammed, Mohammed Ardo
Published: (2019)
by: Mohammed, Mohammed Ardo
Published: (2019)
Degenerations of low-dimensional complex Liebniz algebras
by: Mohamed, Nurul Shazwani
Published: (2023)
by: Mohamed, Nurul Shazwani
Published: (2023)
Performance analysis of variable weight Optical Code Division Multiple Access System
by: Kharazi, Seyedmohammadsaleh Seyedzadeh
Published: (2013)
by: Kharazi, Seyedmohammadsaleh Seyedzadeh
Published: (2013)
Dirty Paper Coding Based Optimal MIMO Relay Communications
by: Khandaker, Muhammad, et al.
Published: (2010)
by: Khandaker, Muhammad, et al.
Published: (2010)
On tensorial absorption of the Jiang-Su algebra
by: Johanesova, Miroslava
Published: (2016)
by: Johanesova, Miroslava
Published: (2016)
Group actions and their applications in associative algebras and algebraic statistics
by: Mohammed, Nadia Faiq
Published: (2017)
by: Mohammed, Nadia Faiq
Published: (2017)
Hybrid QR code student attendance system using firebase and react / Muhammad Aiman Abd mutalib
by: Abd mutalib, Muhammad Aiman
Published: (2020)
by: Abd mutalib, Muhammad Aiman
Published: (2020)
Development And Implementation of a Novel Code Family for Optical Code Division Multiple Access Systems
by: Syed Junid, Syed Alwee Aljunid
Published: (2005)
by: Syed Junid, Syed Alwee Aljunid
Published: (2005)
Categorical Aspects of Algebraic Quantum Field Theory
by: Perin, Marco
Published: (2022)
by: Perin, Marco
Published: (2022)
Optical fiber vibration sensor network based on multi-service optical code-division multiple-access system
by: Kuje, Danjuma
Published: (2016)
by: Kuje, Danjuma
Published: (2016)
Geometry of two-qubit system and hopf fibration
by: Wong, Wen Wei
Published: (2013)
by: Wong, Wen Wei
Published: (2013)
Some Optimal Codes And Their Decoding Algorithms
[QA268. T258 2008 f rb].
by: Tee, Chee Ching
Published: (2008)
by: Tee, Chee Ching
Published: (2008)
Automated data process in participatory sensing using QR-code and EAN-13 barcode
by: Che Ya, Mohamad Fakhrul Syafiq
Published: (2018)
by: Che Ya, Mohamad Fakhrul Syafiq
Published: (2018)
Higher linear algebraic quantum field theory
by: Bruinsma, Simen
Published: (2022)
by: Bruinsma, Simen
Published: (2022)
Similar Items
-
How to obtain division algebras used for fast-decodable space-time block codes
by: Pumpluen, Susanne
Published: (2014) -
Fast-decodable MIDO codes from non-associative algebras
by: Pumpluen, Susanne, et al.
Published: (2015) -
Tensor products of nonassociative cyclic algebras
by: Pumpluen, Susanne
Published: (2016) -
New classes of nonassociative divison algebras and MRD codes
by: Thompson, Daniel
Published: (2021) -
On the right nucleus of Petit algebras
by: Owen, Adam
Published: (2022)