See Exercise 53 for some background. When information is transmitted, there may be some errors in the communication. We present a method of adding extra information to messages so that most errors that occur during transmission can be detected and corrected. Such methods are referred to as error-correcting codes. (Compare these with codes whose purpose is to conceal information.) The pictures of man’s first landing on the Moon (in 1969) were televised just as they had been received and were not very clear, since they contained many errors induced during transmission. On later missions, much clearer error-corrected pictures were obtained.
In computers, information is stored and processed in the form of strings of binary digits, 0 and 1. This stream of binary digits is often broken up into “blocks” of eight binary digits (bytes). For the sake of simplicity, we will work with blocks of only four binary digits (i.e., with
Suppose these vectors in
a. Let H he the Hamming matrix introduced in Exercise 53. How can the computer in Kourou use
b. Suppose the vector
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Linear Algebra with Applications (2-Download)
- Give two examples ofdata collecting from day -to -day life.arrow_forwardThe figure below shows a dotplot generated by Minitab for the number of licensed drivers per 1000 residents by state, including the District of Columbia (Source: U.S. Department of Transportation). (b) About what percentage of the states (out of 51) seem to have close to 800 licensed drivers per 1000 residents? (Round your answer to one decimal place.)arrow_forwardA marketing specialist determines that when a certain product is released, the number of social media references to it can be modeled by...arrow_forward
- 3.5, q.4Please help me fill out the box EXACTLY AS WHAT SHOULD BE IN THERE. use type mode instead of hand writing if possible because it can be hard to understand at times, THANK YOUarrow_forwardthere is an example of parts A and Barrow_forward(b) How many different two-flag signals could be displayed?arrow_forward
- Read this passage of Active Listening vs Passive Listening and answer this first question.arrow_forwardA witness to a hit-and-run accident tells the police that the license plate ofthe car in the accident, which contains three letters followed by three digits,starts with the letters, A & S, and the digits 1 and 2. How many differentlicense plates can fit this description?arrow_forward(I'm confused on part d, just provided some background information as well).arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education