6. The general Hamming code Hamm has parameters (2"m – 1, 2m –m-1,3)2. (a) Give the parameters for the dual code Hamm. (b) Make a good guess for the weight enumerator WHam (c) Give the parameters for the extended code Ham. (d) The Reed-Muller RM(m, 1) code is (Ham)+, the dual of the ex- tended Hamming code. Make a good guess for the weight enumerator WRM(m,1)(2).
6. The general Hamming code Hamm has parameters (2"m – 1, 2m –m-1,3)2. (a) Give the parameters for the dual code Hamm. (b) Make a good guess for the weight enumerator WHam (c) Give the parameters for the extended code Ham. (d) The Reed-Muller RM(m, 1) code is (Ham)+, the dual of the ex- tended Hamming code. Make a good guess for the weight enumerator WRM(m,1)(2).
Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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![6. The general Hamming code Ham,m has parameters (2™ – 1, 2m –m-1,3)2.
(a) Give the parameters for the dual code Ham,m.
(b) Make a good guess for the weight enumerator WHam± (z).
(c) Give the parameters for the extended code Ham.
(d) The Reed-Muller RM(m, 1) code is (Ham,)-, the dual of the ex-
tended Hamming code. Make a good guess for the weight enumerator
WRM(m,1) (2).
(e) Make a good guess for the parameters of RM(m, 1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56948d1f-f3cf-4f40-ab0a-6067bba5bbc4%2F65ffcb69-ebb6-4239-9651-74ca7c677d5b%2Fuc543e8_processed.png&w=3840&q=75)
Transcribed Image Text:6. The general Hamming code Ham,m has parameters (2™ – 1, 2m –m-1,3)2.
(a) Give the parameters for the dual code Ham,m.
(b) Make a good guess for the weight enumerator WHam± (z).
(c) Give the parameters for the extended code Ham.
(d) The Reed-Muller RM(m, 1) code is (Ham,)-, the dual of the ex-
tended Hamming code. Make a good guess for the weight enumerator
WRM(m,1) (2).
(e) Make a good guess for the parameters of RM(m, 1).
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