(a) Use the parity-check matrix H of Example 16.25 to decode the following received words. (i) 111101...

Question:

(a) Use the parity-check matrix H of Example 16.25 to decode the following received words.
(i) 111101
(ii) 110101
(iii) 001111
(iv) 100100
(v) 110001
(vi) 111111
(vii) 111100
(viii) 010100
(b) Are all the results in part (a) uniquely determined?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Question Posted: Jun 21, 2016 09:09 AM

See More Questions

The parity check code in Example 1.37 is a code Z 6 2 Z 7 2 . (a) Find a standard parity check matrix for this code. (b) Find a standard generator matrix.
Either a generator matrix G or a parity check matrix P is given for a code C. Find a generator matrix G ¥ and a parity check matrix P ¥ for the dual code of C. G =
Either a generator matrix G or a parity check matrix P is given for a code C. Find a generator matrix G ¥ and a parity check matrix P ¥ for the dual code of C. G =
Show that the allocation which solves the first-order condition from Eq. (3.7) for a social optimum satisfies the second-order conditions. Equation 3.7 -C(e) = D'(E) i=1,.... (3.7)
Why do organizations combine statistical and judgmental forecasts of labor demand, rather than relying on statistics or judgment alone? Give an example of a situation in which each type of forecast...
144. Which of the following is not a part of biotechnology:- (1) Gene therapy (2) Invitro fretilization leading to a test tube baby (3) Developing of DNA vaccine (4) Biomagnification of pesticide...
What are some of the legal ramifications?
A convertible bond has the following features: Coupon ................. 5.25% Maturity .................. June 15, 2027 Market price of bond ............. $77.50 Market price of underlying common...
The income statement is an important financial statement because it provides investors, creditors, and managers with information that helps them predict the amount, timing, and uncertainty of future...
A commercial jet aircraft has four engines. For an aircraft in flight to land safely, at least two engines should be in working condition. Each engine has an independent reliability of p = 92%. a....
For each of the following encoding functions, find the minimum distance between the code words. Discuss the error-detecting and error-correcting capabilities of each code. (a) E: Z22 Z52 00 00001...
The encoding function E: Z22 Z52 is given by the generator matrix (a) Determine all code words. What can we say about the error-detection capability of this code? What about its error- correction...
Determine whether the following statements are true, false, or uncertain according to monetarist theory. If anyone is false or uncertain, change it so that the statement is correct. a. A decrease in...
compare and contrast the argument and counterargument on the issue of: The use of animals for scientific testing is and primarily perceived to be inhumane. Support the argument with at least two...
The owner of a paper manufacturer in Seattle, WA is planning next month's production goals. Last month the price of a ton of paper was $625, which increased to $840 this month According to the law of...
3. Suppose that a researcher wanted to measure the federal government's efforts to make the education of its citizens a priority. The researcher proposed to count the government's budget for...
The following information is available for Wonderway, Incorporated, for the current year: Factory rent Company advertising Wages paid to laborers Depreciation for president's vehicle Indirect...
Reply this experiences, explaining your ideas about how the situation could have been improved by the service provider or the company. Also answer the following in your REPLY: 1. Could a proactive...
Hughes Industries reported the following actual vs. budgeted performance for the year. REQUIRED: Compute the variances by line item for Hughes Industries. Line Item Actual Budgeted Sales $ 3,250,500...
(8%) Problem 6: A student attaches a f= 3.5 kHz oscillator to one end of a metal rail of length L = 25 m. The student turns on the oscillator and uses a piezoelectric gauge at the other end to...
Where, in atoms, do electrons reside? The graph at right shows the probability of the electron of a hydrogen atom being at various distances from the nucleus at any given moment. The distances are...
Write log a - log b + 2 log c as a single logarithmic expression.
Consider this system of inequalities: a. Graph the triangle defined by this system. b. Give the coordinates of the vertices of the triangle in 19a. c. Find the area of the triangle in 19a. 3x +ys15...
1. What year are you preparing your students for? 1973? 1995? Provide evidence that your school's curriculum and the program you use are preparing your students for 2030? Are you even preparing them...
2 Classify each type of numerical data as discrete (D) or continuous (C). a number of homes with solar power b patients' body temperatures c sizes of the crowds at rock concerts d star ratings of...
What role does the use of either mimesis or abstraction play in each example? (Keep in mind that the concepts of mimesis and abstraction in the creative arts are defined and explored in the document...

(a) Use the parity-check matrix H of Example 16.25 to decode the following received words. (i) 111101...

Question:

Step by Step Answer:

a i H 111101 tr 101 tr so c 110101 and ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these Linear Algebra questions