The code [C.sub.2] will be a binary linear code of dimension M (so that it can be concatenated with [C.sub.1]) and rate at least r which is ([rho], l)-list decodable for [rho] = [H.sup.-1](1 - r - [epsilon]). Such a code is known to exist via ...
You could argue ruby is dead and rails is the "All your base are belong to us" prelude & prolog quick-starter gem. Why not make the concept of auto-include quick-starter prelude & prolog gems more popular and offer more options? See the cocos (code commons) gem for a start on an ...
We show that each weakly-free RRˇ-linear code is monomially equivalent to a Galois RRˇ-LCD code when |R/γR|>4, while it is monomially equivalent to a Euclidean RRˇ-LCD code when |R/γR|>3. We also obtain enumeration formulae for all Euclidean and Hermitian RRˇ-LCD codes of...
To do this task, we will use the concepts ofASCII value.ASCIIstands for the American Standards Code for Information exchange. It provides us the numerical value for the representation of characters. The ASCII value of uppercase letters and lowercase alphabets start from 65 to 90 and 97-122 re...
this avoids the main difficulties encountered when designing a reduction for grammar-based compression with fixed alphabets (see Section 3): the factors that encode vertices of a graph must have unbounded length, which makes it rather difficult to control how the grammar compresses these codewords....
31]. One of the finest examples is the reduction of amino acid alphabet into a binary code that is composed of characters representing polar and non-polar amino acid residues [27]. Grouping of amino acid residues has also been used extensively in Hydrophobic-Polar (HP) lattice model to ...
A system displays data in a first and second alphabet selectable by the operator, the second alphabet being of the kind in which the characters differ in form according to their position in the context. The system receives data in the form of a sequence of standard binary code bytes represent...
DNA synthesis proceeds in the 5′ to 3′ direction in a primer-dependent reaction requiring Mg2+ as a cofactor. In the first step, the enzyme forms an initial binary complex with a DNA duplex composed of a template strand and a shorter, complementary primer strand possessing a 3′-hydroxyl...
Avoid making code overly generic at the expense of runtime performance, instead look to compile-time solutions Ensure adding new alphabets is reasonably painless Create functions with documentation Avoid generating functions that can't easily be documented without compile-time annoyances such as extra ...
(X)bethesetofallprobabilitymeasuresonX. FromShannonnoiselesscodingTheorem(seeCoverandThomas,1991),thebinaryentropyofP n ,H(X 1:n )= E P n[−logP(X 1:n )]providesatightlowerboundontheexpectednumberofbinarysymbolsneededtoen- codeoutcomesofP n .Throughoutthepaper,logarithmsareinbase2.Inthefollowi...