Introduction to finite fields and their applications
Introduction to finite fields and their applications
Sphere-packings, lattices, and groups
Sphere-packings, lattices, and groups
A course in computational algebraic number theory
A course in computational algebraic number theory
Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Constellations matched to the Rayleigh fading channel
IEEE Transactions on Information Theory
Good lattice constellations for both Rayleigh fading and Gaussian channels
IEEE Transactions on Information Theory
Algebraic tools to build modulation schemes for fading channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Performance of high-diversity multidimensional constellations
IEEE Transactions on Information Theory
A universal lattice code decoder for fading channels
IEEE Transactions on Information Theory
Closest point search in lattices
IEEE Transactions on Information Theory
Lattice decoding for joint detection in direct-sequence CDMA systems
IEEE Transactions on Information Theory
On maximum-likelihood detection and the search for the closest lattice point
IEEE Transactions on Information Theory
Full-diversity, high-rate space-time block codes from division algebras
IEEE Transactions on Information Theory
New algebraic constructions of rotated Zn-lattice constellations for the Rayleigh fading channel
IEEE Transactions on Information Theory
Cyclic Division Algebras: A Tool for Space-Time Coding
Foundations and Trends in Communications and Information Theory
On high-rate full-diversity 2 × 2 space-time codes with low-complexity optimum detection
IEEE Transactions on Communications
On fast-decodable space-time block codes
IEEE Transactions on Information Theory
Coding and decoding for the dynamic decode and forward relay protocol
IEEE Transactions on Information Theory
Performance of space-time-frequency block-coded MC-DS-CDMA in correlated conditions
WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference
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Algebraic number theory is having an increasing impact in code design for many different coding applications, such as single antenna fading channels and more recently, MIMO systems. Extended work has been done on single antenna fading channels, and algebraic lattice codes have been proven to be an effective tool. The general framework has been settled in the last ten years and many explicit code constructions based on algebraic number theory are now available.The aim of this work is to provide both an overview on algebraic lattice code designs for Rayleigh fading channels, as well as a tutorial introduction to algebraic number theory. The basic facts of this mathematical field will be illustrated by many examples and by the use of a computer algebra freeware in order to make it more accessible to a large audience.