Consider the 2-error correcting RS code over GF(8). Let α be a primitive element of GF(8). (a) List the parameters of the code. Find the generator polynomial of the code. Encode the message [1 α α2 ]...

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Consider the 2-error correcting RS code over GF(8). Let α be a primitive element of GF(8). (a) List the parameters of the code. Find the generator polynomial of the code. Encode the message [1 α α2 ]...

Consider the 2-error correcting RS code over GF(8). Let α be a primitive element of GF(8). (a) List the parameters of the code. Find the generator polynomial of the code. Encode the message [1 α α2 ] systematically. (b) List the parameters of the binary expanded code. Provide binary equivalents of the encoding above. (c) Decode the received word [0 1 α α2 α3 1 0].

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Answer 1

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Consider the 2-error correcting RS code over GF(8). Let α be a primitive element of GF(8). (a) List the parameters of the code. Find the generator polynomial of the code. Encode the message [1 α α2 ]...

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Consider the 2-error correcting RS code over GF(8). Let α be a primitive element of GF(8). (a) List the parameters of the code. Find the generator polynomial of the code. Encode the message [1 α α2 ]...

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Consider the 2-error correcting, narrow-sense RS code over GF(16) (α is a primitive element). (a) Write down the generator polynomial and the parity check polynomial. (b) Provide a parity check matrix...

Find the generator polynomial of the length-1023, primitive binary BCH code with designed error-correcting capability (a)...

Find the generator polynomial of the length-1023, primitive binary BCH code with designed error-correcting capability (a) t = 1. (b) t = 2. (c) t = 3. (d) t = 4.

coding theory 1. If 100 031 Go 01 0 0 9 0001 27 01 0 054 is a generator matrix for a linear code over Fi encode the message stream m(2, 3,9, 6, 1,4,3, 8) (by breaking it into encodable pieces). 2....

Consider the 2-error correcting RS code over GF(8). Let α be a primitive element of GF(8). (a) List the parameters of the code. Find the generator polynomial of the code. Encode the message [1 α α2 ]...

Homework Answers

Add Answer to: Consider the 2-error correcting RS code over GF(8). Let α be a primitive element of GF(8). (a) List the parameters of the code. Find the generator polynomial of the code. Encode the message [1 α α2 ]...

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Consider the 2-error correcting, narrow-sense RS code over GF(16) (α is a primitive element). (a) Write down the generator polynomial and the parity check polynomial. (b) Provide a parity check matrix...

Find the generator polynomial of the length-1023, primitive binary BCH code with designed error-correcting capability (a)...

Find the generator polynomial of the length-1023, primitive binary BCH code with designed error-correcting capability (a) t = 1. (b) t = 2. (c) t = 3. (d) t = 4.

coding theory 1. If 100 031 Go 01 0 0 9 0001 27 01 0 054 is a generator matrix for a linear code over Fi encode the message stream m(2, 3,9, 6, 1,4,3, 8) (by breaking it into encodable pieces). 2....

Add Answer to:
Consider the 2-error correcting RS code over GF(8). Let α be a primitive element of GF(8). (a) List the parameters of the code. Find the generator polynomial of the code. Encode the message [1 α α2 ]...