Cs 59000 Ctt Current Topics in Theoretical Cs
نویسنده
چکیده
We introduced error-correcting codes and linear codes in the last lecture. In this lecture we will discuss in some more details properties of linear codes and we’ll describe classical examples of linear codes. We will also show the Hamming bound, which is a bound that relates the distance, rate, and block length parameters of codes and is tight for the Hamming codes. Recall that a (n, k, d)q code is a code of block length n, message length k and distance d = Δ(C) over an alphabet Σ with |Σ| = q. A linear codes [n, k, d]q is a subspace of Fq of dimension k
منابع مشابه
Cs 59000 Ctt Current Topics in Theoretical Cs
There are many notions of expansion and in previous lectures we have seen edge and spectrum expansion. In this lecture, we will see the notion of vertex expansion. Many of these notions of expansion are in fact equivalent, but we won’t discuss in this course why. Our goal today is to show that expanders exist using the probabilistic method. According to the probabilistic method, in order to sho...
متن کاملCs 59000 Ctt Current Topics in Theoretical Cs Lecture 1
The use of randomness in designing algorithms that deal with large data sets can lead to vast improvements in performance compared to deterministic algorithms for the same problems. In this course we will be looking at a few computational models that use randomness as a means to finding efficient or super-efficient algorithms for various computational problems specific to graphs, error-correcti...
متن کاملResearch in computer science: an empirical study
In this paper, we examine the state of computer science (CS) research from the point of view of the following research questions: 1. What topics do CS researchers address? 2. What research approaches do CS researchers use? 3. What research methods do CS researchers use? 4. On what reference disciplines does CS research depend? 5. At what levels of analysis do CS researchers conduct research? To...
متن کاملTheoretical models for determination of weight percent of PHCS-g-PLLA co polymer using experimental data
The amphiphilic graft copolymer using chitosan (CS) as hydrophilic segment and poly (L-lactic acid) (PLLA) as hydrophobic segment, was prepared through a protection-graft-de protection route. Chitosan is a polysaccharide comprising of copolymers of glucosamine and N-acetyl glucosamine. Chitosan is the deacetylated derivative of chitin, which is one of the most abundant natural polysaccharides c...
متن کاملCs 59000 Ctt Current Topics in Theoretical Cs Lecture 12
Our goal is to store S (a set of keys) in such a way that we can quickly (i.e. with few memory accesses) answer queries of the form “Is i ∈ S?”. So we want to encode S in a table via some encoding scheme S → E(S). An algorithm for the membership problem takes a query “Is i ∈ S” and makes a few ‘probes’ into the table E(S), where a probe is just an index (cell) in the table. Based on the values ...
متن کامل