Question: . Let C be an [ n , k , d ] code over F . Let T be a set of t coordinates. Then

. Let C be an [n, k, d] code over F. Let T be a set of t coordinates. Then prove, (C )T =(C T ) and (C ) T =(CT ) .(Note: C T denotes puncturing on set T i.e. obtained by deleting components indexed by the set T in all codewords of C and CT denotes the code C shortened on T.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

Let C be an [n, k, d] code over Fq. Prove or disprove the following claim: In any coset of C with a coset leader of weight > j d-12 k, the coset leader is not unique.

Q:

Let C be an [n, k, d] GRS code over a finite field F, with 1 d-1. (c) The covering radius of a code C CF is defined to be the largest distance d(y, C) among all y EF. In other words, P(C):= max{dly,...

Q:

1. (a) Let be an (n, k, d) code. Consider a length 2n codebook generated as C' (i,i) : E C). Show that C' is a (2n, k, 2d) code. (b) Let be an (n, k, d) binary code. Consider a length 2n codebook...

Q:

Non - linear codes of cardinality qk sometimes also have the property that on the first k coordinates all qk possible ( information ) sequences occur. These codes are called systematic on the first k...

Q:

I need to complete phase 3 of the schnappauf family case. PHASE lI-CHAP'I'EIIE 5-5 This is the seeenci phase eF the te:t tenIIn prehlem Ire-u began at the end efhapter 1r. Th' phase uf the tax return...

Q:

Plan Solu Cha Cha Q Cha & iMat RX Rati Ratic Rati Ratic Rati GA ta Cha Sy dor imathas.rationalreasoning.net YouTube Maps Question 16. Points possible: 1 Unlimited attempts. Message instructor about...

Q:

Discrete Math Fall 2017 Homework 7 Due: Friday, November 10, 2017 The below problems involve material from Chapter 5. You must type your solutions. Submit a single PDF file on eLC by 9PM on the given...

Q:

Worksheet #4, COMP233 1- Let C (n E n 6r 5 for some integer n and D {m e Z I m 3s 1 for some integer St. Prove or disprove C-D. 2- Let A (1, 3, 5, 7, 9), B 13, 6, 9), and C (2, 4, 6, 8) Find each of...

Q:

Prove that the HartmannTzeng Bound follows from the van LintWilson Bounding Technique. Hint: See Example 4 . 5 . ? Example 4 . 5 . 1 2 Let C be the 1 7 , 9 , d binary cyclic code with defining set T...

Q:

The real risk free rate r* is 2.55% Inflation is expected to average 3.2% a year for the next 4 years, after which time inflation is expected to average 5 a year. Assume that there is no maturity...

Q:

explain how the industrialization of the United States in the nineteenth century changed the nature of employment

Q:

I am working on Financial Ratio Assignment. I am confused. I can Upload all documents including the assignment here. E-K Caesars Entertainment CZR Consumer Discretionary Reno, Nevada Step 2. Log into...

Q:

Degree of Operating Leverage, Percent Change in Profit Ringsmith Company is considering two different processes to make its product-process 1 and process 2. Process 1 requires Ringsmith to...

Q:

=+j Describe international labor law and standards and explain their impacts.

Q:

Question If an employer wants to protect an employee against obtaining an inadequate price on the forced sale of a residence when moving, what is the best way to do it?

Q:

Question Suppose you change jobs to a more distant location and try commuting from your old home for several years, then decide it is too difficult and move closer to the new job. Are moving...