Question: Show that the cyclic code C is self orthogonal if and only if h(x)lg(x). Hence find a self orthogonal binary cyclic code with length 15.

Show that the cyclic code C is self orthogonal if and only if h(x)lg(x).

Hence find a self orthogonal binary cyclic code with length 15.

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 Systems Analysis Design Questions!

Q:

HW 12, MAT 312/AMS 351: SPRING 2017 Problem 1. (1) Set H = {4a + 6b | a, b Z} Z. Show that H is a subgroup of Z. (2) Is H cyclic? Problem 2. Write down all the cyclic subgroups of the following...

Q:

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

Q:

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

Q:

software projects failed. In the run-up to Y2K, most of the world's large companies claimed that fixing the Millennium Bug was a large project whose success was critical to their survival. One would...

Q:

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

Q:

Coding Theory (14 points) Let n be a positive integer and let C En, ie., let C be the binary code consisting of all length n binary vectors of even weight: (a) Find a parity check check matrix H for...

Q:

Math 104A Homework #3 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

Q:

For monotone functions f, f0: P Q between posets (P, vP ) and (Q, vQ), let f v f(i) Prove that the binary relation v is a partial order. [3 marks] (ii) For monotone functions between posets p : P 0...

Q:

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Q:

5. (a) Suppose that a binary linear code C generated by g(x) has the property that whenever c(x) is a codeword, then so is x"-c(x ]) - which is the same codeword with the bits written in reverse...

Q:

A particle of charge Q is fixed at the origin of an xy coordinate system. At t = 0 a particle (m = 0.800g q = 4.00?C) is located on the x axis at x = 20.0 cm, moving with a speed of 50.0 m/s in the...

Q:

Discuss two real world binary problems in two different fields using applications of Boolean Algebra.

Q:

Which of the following will be separately stated by a partnership reporting its operations for the year to the IRS? Sec. 1 2 4 5 depreciation recapture MACRS depreciation expense 1 2 3 1 gains or...

Q:

An air heater consists of a shell-and-tube heat exchanger with 24 longitudinal fins on the outside of the tubes. The tubes are 1.5-in, 14 BWG, and the fins are 0.75 mm thick and are 15 mm long. A...

Q:

List and describe the contents of the system specification.

Q:

Distinguish between a traditional ASP and a provider of software as a service. What are the pros and CMS of each solution approach?

Q:

Assume that you are developing a new system for a local real estate agency. The agency wants to keep a database of its own property listings and also wants to have access to the citywide multiple...

Q:

When is an unconditional promise to give a gift recognized as revenue? O When the cash received. When the condition is met. O When the promise is made. O When the donor passes away

Q:

Reference Premium Semiannual Interest Interest Premium Account Bond Carrying Interest Date Payment Expense Amortization Balance Amount Jan 1, 2022 106,284 756,284 Jun 30, 2022 19,500 15,126 4,374...

Q:

Excel for Excel Excel Excel for Excel Excel Excel for the The balance sheet for Stud Clothiers is shown below. Sales for the year were $2,400,000, with 90 percent of sales sold on credit. STUD...