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Too packed to change: Side-chain packing and site-specific substitution rates in protein evolution
(PeerJ Inc, 2015-04)
In protein evolution, due to functional and biophysical constraints, the rates of amino acid substitution differ from site to site. Among the best predictors of site-specific rates are solvent accessibility and packing ...
Algebraic lattices via polynomial rings
(2019-12-01)
Signal constellations having lattice structure have been studied as meaningful means for signal transmission over Gaussian channel. Usually the problem of finding good signal constellations for a Gaussian channel is ...
Protein chain packing and percolation threshold
(2006)
The major factor that drives a protein chain toward collapse and folding is the hydrophobic effect. Amino acids with apolar side chains join forming a solvent-shielded hydrophobic core. This process pack the structure in ...
Lattices from subfields of Q (xi n)
(Institute of Electrical and Electronics Engineers (IEEE), 2006-01-01)
In this paper we present a method for evaluating the center density of algebraic lattices from subfields of Q(xi n), where n is a positive integer. This method allows to reproduce rotated versions of dense lattices in some ...
Commutative group codes in R4, R6, R8 and R16-Approaching the bound
(2013-05-10)
Spherical codes in even dimensions n = 2m generated by a commutative group of orthogonal matrices can be determined by a quotient of m-dimensional lattices when the sublattice has an orthogonal basis. We discuss here the ...
Commutative group codes in R4, R6, R8 and R16-Approaching the bound
(2013-05-10)
Spherical codes in even dimensions n = 2m generated by a commutative group of orthogonal matrices can be determined by a quotient of m-dimensional lattices when the sublattice has an orthogonal basis. We discuss here the ...
A family of asymptotically good lattices having a lattice in each dimension
(World Scientific Publ Co Pte Ltd, 2008-02-01)
A new constructive family of asymptotically good lattices with respect to sphere packing density is presented. The family has a lattice in every dimension n >= 1. Each lattice is obtained from a conveniently chosen integral ...
ROTATED A(n)-LATTICE CODES OF FULL DIVERSITY
(Amer Inst Mathematical Sciences-aims, 2020-09-20)
Some important properties of lattices are packing density and full diversity, which may be good for signal transmission over both Gaussian and Rayleigh fading channel, respectively. The algebraic lattices are constructed ...
Fully-Diverse Lattices from Ramified Cyclic Extensions of Prime Degree
(2020-01-01)
Let p be an odd prime. Algebraic lattices of full diversity in dimension p are obtained from ramified cyclic extensions of degree p. The 3, 5, and 7-dimensional lattices are optimal with respect to sphere packing density ...