Let C be a binary linear code of length n, n odd, and let Ĉ be the extended binary linearcode obtained by adding a parity-check symbol to the codewords in C. Letbe the weight enumerator of C (recall that A; is the number of codewords of weight iin C). Letbe the weight enumerator of Ĉ.(a) Show thatnWc(X) = Σ A₁Xii=0=n+1W₂(X) = Σ Â₁Xii=0Â。 = 1;Â; = 0 if i is odd and 1 ≤ i ≤ n;Â¡ = A₁-1 + A; if i is even and 2 ≤ i ≤ n -1;• AntiAn.

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Answered: Let C be a binary linear code of length…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the number of all bit strings of length 5.
Construction and building inspectors ensure that construction meets local and national buillding codes and ordinances, zoning regulations, and contract specifications. They spend considerable time inspecting worksites, alone or as part of a team. Most work full time during regular business hours. Many states and local jurisdictions require some type of license or certification. The median annual wage was $56,040 in May 2014. SOURCE: Bureau of Labor and Statistics, U.S. Department of Labor, Occupational Outlook Handbook, 2016 - 2017 Edition E, Construction and Building Inspectors A wheelchalir ramp with a length of 614 Inches has a horizontal distance of 610 Inches. What is the ramp's vertical distance (height)? inches State your response to the nearest 0. 1 Construction laws are very specific when it comes to access ramps for the disabled. Every vertical rise of 1 inch requires a horizontal run of at least 12 inches. Does the ramp above satisfy the requirement? O Yes O No
Let x be a natural number with a binary representation where the difference between the number of 1 bits with an even index and the number of 1 bits with an odd index is a multiple of 3. Prove that x is a multiple of 3.
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Let S be the set of all bit strings (strings of 0's and I's) Select one: O A. f(s) = the string obtained by moving the first bit of s to the end of the string. (For example, f(1001101) = 0011011) O B. f(s) = the string obtained from s by interchanging 0's and I's. (For example, f(11000) = 00111) O c. f(s) the string & with a 1 bit appended at the end. (For example, f(1101) = 11011) O D. f(s) the reversal of s. (For example, f(110) = 011) length at least 2. Which of the following functions f : S → S is not onto S?
Data were collected from a random sample of 330 home sales from a community in 2003. Let Price denote the selling price (in $1,000), BDR denote the number of bedrooms, Bath denote the number of bathrooms, Hsize denote the size of the house (in square feet), Lsize denote the lot size (in square feet), Age denote the age of the house (in years), and Poor denote a binary variable that is equal to 1 if the condition of the house is reported as "poor." An estimated regression yields Price=129.9 +0.529BDR+25.5Bath +0.170Hsize +0.004Lsize +0.098Age-53.2Poor, R² = 0.78, SER=45.2. Suppose that a homeowner converts part of an existing family room in her house into a new bathroom. What is the expected increase in the value of the house? The expected increase in the value of the house is $. (Round your response to the nearest dollar.) Suppose that a homeowner adds a new bathroom to her house, which increases the size of the house by 109 square feet. What is the expected increase in the value of…
Use the dot method to add the numbers below. If the number needs a dot, put a dot (period) to the right of the number. Otherwise leave it blank.
Someone used the Euclidean Algorithm to compute gcd(44,140) and found the following. Use this to write the gcd as a linear combination of 44 and 140. Show work. 140 = 3(44) + 8 44 = 5(8) + 4 8 = 2(4) + 0
Let arr86 be a binary variable equal to 1 if a man was arrested during 1986, and zerootherwise. You have a dataset of young men from California who were born in 1960 or1961 and have at least one arrest prior to 1986. You also have data on the proportion ofprior arrests that led to a conviction (pcnv), the average sentence served from priorconvictions in months (avgsen), months spent in prison since age 18 prior to 1986(tottime), months spent in prison in 1986 (ptime86), and the number of quarters (0 to 4)that the man was legally employed in 1986 (qemp86). You estimate the following linearprobability model (standard errors are in parentheses): arr86 = 0.441 - .162pcnv + .0061avgsen - .0023tottime(.017) (.021) (.0065) (.005) - .022ptime86 - .043qemp86(.005) (.005) n= 2725R2=.0474 a) Interpret the coefficient on avgsen, commenting on both magnitude and significance. Based on these results, do longer sentences deter future crime? b) What is the predicted probability of arrest for a man…
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Suppose that you start browsing the internet on a specified page c. Let x be all the websites you can reach by following links, starting at x. Give a reccursive defintion for the set x including both the recursive part and the base case.

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