For a linear code C, show that (C ) without using matrices.
Question:
For a linear code C, show that (C⊥)⊥ without using matrices.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (15 reviews)
The proof of Theorem 634a dimC di...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Prove that, for a linear code C, either all the code vectors have even weight or exactly half of them do. [Let E be the set of vectors in C with even weight and O the set of vectors in C with odd...
-
Let C be a linear code. Show that the minimum distance of C is equal to the minimum weight of a nonzero code vector.
-
Show that the OLS estimators, b1 and b2, are linear estimators. Also show that these estimators are linear functions of the error term ui.
-
Solve each system. If a system is inconsistent or has dependent equations, say so. -5x + 2y = -4 6x + 3y = -6
-
What is minimum efficient scale? What is likely to happen in the long run to firms that do not reach minimum efficient scale?
-
You recently received a letter from your Uncle Frank. A portion of the letter is presented below. You know that I have a significant amount of money I saved over the years. I am thinking about...
-
This chapter referenced a number of Statements on Auditing Standards (SASs), Statements on Standards for Accounting and Review Services (SSARSs), and Statements on Standards for Attestation...
-
Stephanie Baskill, an unemployed accounting clerk, lives one block from Cleaver Manufacturing Company. While walking her dog last year, she noticed some ERP manuals in the dumpsters. Curious, she...
-
Explain the importance of following techniques for relaxation? i. Music ii. Visualization iii. Belly breathing iv. Laughter
-
Examine the Apartment worksheet, and apply appropriate names to cells D17:D20. 2. Set up the structure of a one-variable data table on the Analysis worksheet that shows the apartment rental price,...
-
A linear transformation T : V V is given. If possible, find a basis C for V such that the matrix [T] c of T with respect to C is diagonal. T : P 2 P 2 defined by T(p(x)) = p(x + 1)
-
A linear transformation T : V V is given. If possible, find a basis C for V such that the matrix [T] c of T with respect to C is diagonal. T : P 1 P 1 defined by T(a + bx) = (4a + 2b) + (a + 3b)x
-
In Problems 5568, rationalize the denominator of each expression. Assume that all variables are positive when they appear. 1
-
Describe the process by which a virtual address is translated to a physical address in a paged memory system. What data structures and hardware components are involved ?
-
Discuss the complexities associated with implementing shared memory in a virtual memory environment, particularly in a multi-process or multi-threaded system. How do memory protection mechanisms and...
-
Discuss the effects of low fertility rate on long-run aggregate Supply.
-
Elaborate on the concept of memory-mapped files and their integration with virtual memory systems. How do memory-mapped files enable seamless interaction between disk-based storage and virtual...
-
You are working as an executive in ABC Insurance Company in Kuala Lumpur. Your senior executive has assign you to guide an internship's student in your department. Briefly describe the following...
-
Show that the classical Rayleigh?Jeans law for radiation follows from eq. (22.13) ? in the limit as ? ? 0.. Show that the total power radiated diverges in this limit (the ultraviolet catastrophe that...
-
Find the volume of the described solid S. A frustum of a right circular cone with height h, lower base radius R, and top radius r -r- --R
-
In Exercises 1-3, determine whether the given matrix is orthogonal. If it is, find its inverse. 1. 2. 3. 0 01 1/V2 1/V2 1 2 15 15 25 1212 0 13-3-3
-
Let Q be an orthogonal 2 ( 2 matrix and let x and y be vectors in. If ( is the angle between x and y, prove that the angle between Qx and Qy is also (. (This proves that the linear transformations...
-
(a)Prove that an orthogonal 2 ( 2 matrix must have the form Where Is a unit vector. (b)Using part (a), show that every orthogonal 2 ( 2 matrix is of the form Where 0 ( ( ( 2 (. or cos sin -sin cos...
-
What is printed by the following Java statement: System.out.println(what01(4, 7)); The method is defined as: private static int what01(int n, int k { } int v = 0; for (int j = 0; j < n; j++) { v=v 10...
-
Write a MATLAB code/script which includes a row vector named your first name constructed with square brackets consisting of the digits in your student number in order and calculates the sum of the...
-
Write a MATLAB code/script includes calling a function named your first name which returns the area and volume of a cylinder. This code prompts the user to enter the radius (r) and height (h) values...
Study smarter with the SolutionInn App