668,785 research outputs found
Group Divisible Codes and Their Application in the Construction of Optimal Constant-Composition Codes of Weight Three
The concept of group divisible codes, a generalization of group divisible
designs with constant block size, is introduced in this paper. This new class
of codes is shown to be useful in recursive constructions for constant-weight
and constant-composition codes. Large classes of group divisible codes are
constructed which enabled the determination of the sizes of optimal
constant-composition codes of weight three (and specified distance), leaving
only four cases undetermined. Previously, the sizes of constant-composition
codes of weight three were known only for those of sufficiently large length.Comment: 13 pages, 1 figure, 4 table
Synthetic associative learning in engineered multicellular consortia
Associative learning is one of the key mechanisms displayed by living
organisms in order to adapt to their changing environments. It was early
recognized to be a general trait of complex multicellular organisms but also
found in "simpler" ones. It has also been explored within synthetic biology
using molecular circuits that are directly inspired in neural network models of
conditioning. These designs involve complex wiring diagrams to be implemented
within one single cell and the presence of diverse molecular wires become a
challenge that might be very difficult to overcome. Here we present three
alternative circuit designs based on two-cell microbial consortia able to
properly display associative learning responses to two classes of stimuli and
displaying long and short-term memory (i. e. the association can be lost with
time). These designs might be a helpful approach for engineering the human gut
microbiome or even synthetic organoids, defining a new class of decision-making
biological circuits capable of memory and adaptation to changing conditions.
The potential implications and extensions are outlined.Comment: 5 figure
Design definition study of a lift/cruise fan technology V/STOL airplane: Summary
A two-engine three-fan V/STOL airplane was designed to fulfill naval operational requirements. A multimission airplane was developed from study of specific point designs. Based on the multimission concept, airplanes were designed to demonstrate and develop the technology and operational procedures for this class of aircraft. Use of interconnected variable pitch fans led to a good balance between high thrust with responsive control and efficient thrust at cruise speeds. The airplanes and their characteristics are presented
Construction of some new three associate class partially balanced incomplete block designs in two replicates
Paper presented at the 2nd Strathmore International Mathematics Conference (SIMC 2013), 12 - 16 August 2013, Strathmore University, Nairobi, Kenya.Search for experimental designs which aid in research studies involving
large number of treatments with minimal experimental units has been desired
overtime. This paper constructs some new series of three associate Partially
Balanced Incomplete Block (PBIB) designs having n(n - 2) /4 treatments
with three associate classes in two replicates using the concept of triangular
association scheme. The design is constructed from an even squared array
of n rows and n columns (n _> 8) with its both diagonal entries bearing no
treatment entries and that given the location of any treatment in the squared
array, the other location of the same treatment in the array is predetermined.
The design and association parameters for a general case of an even integer
n >_8 are obtained with an illustrated case for n = 8. Efficiencies of the
designs within the class of designs are obtained for a general case of even n >_8
with a listing of efficiencies of designs with blocks sizes in the interval [8,22].
The designs constructed have three associate classes and are irreducible to
minimum number of associate classes.Search for experimental designs which aid in research studies involving
large number of treatments with minimal experimental units has been desired
overtime. This paper constructs some new series of three associate Partially
Balanced Incomplete Block (PBIB) designs having n(n - 2) /4 treatments
with three associate classes in two replicates using the concept of triangular
association scheme. The design is constructed from an even squared array
of n rows and n columns (n _> 8) with its both diagonal entries bearing no
treatment entries and that given the location of any treatment in the squared
array, the other location of the same treatment in the array is predetermined.
The design and association parameters for a general case of an even integer
n >_8 are obtained with an illustrated case for n = 8. Efficiencies of the
designs within the class of designs are obtained for a general case of even n >_8
with a listing of efficiencies of designs with blocks sizes in the interval [8,22].
The designs constructed have three associate classes and are irreducible to
minimum number of associate classes
Concatenated Polar Codes
Polar codes have attracted much recent attention as the first codes with low
computational complexity that provably achieve optimal rate-regions for a large
class of information-theoretic problems. One significant drawback, however, is
that for current constructions the probability of error decays
sub-exponentially in the block-length (more detailed designs improve the
probability of error at the cost of significantly increased computational
complexity \cite{KorUS09}). In this work we show how the the classical idea of
code concatenation -- using "short" polar codes as inner codes and a
"high-rate" Reed-Solomon code as the outer code -- results in substantially
improved performance. In particular, code concatenation with a careful choice
of parameters boosts the rate of decay of the probability of error to almost
exponential in the block-length with essentially no loss in computational
complexity. We demonstrate such performance improvements for three sets of
information-theoretic problems -- a classical point-to-point channel coding
problem, a class of multiple-input multiple output channel coding problems, and
some network source coding problems
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