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7. If x5+1=(x+1)(x²+x+1)(x*+x+1)(x*+x'+x+1)(x*+x+x+x+1) are the factors of x5+1, find the generator polynomials and error correction capabilities of all possible (15,k) systematic cyclic codes.

7. If x5+1=(x+1)(x²+x+1)(x*+x+1)(x*+x'+x+1)(x*+x+x+x+1) are the factors of x5+1, find the generator polynomials and error correction capabilities of all possible (15,k) systematic cyclic codes.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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7. If x5+1=(x+1)(x²+x+1)(x'+x+1)(x*+x'+x+1)(x*++x'+x?+x+1) are the factors of x15+1, find the generator polynomials and error correction capabilities of all possible (15,k) systematic cyclic codes.
Transcribed Image Text:7. If x5+1=(x+1)(x²+x+1)(x'+x+1)(x*+x'+x+1)(x*++x'+x?+x+1) are the factors of x15+1, find the generator polynomials and error correction capabilities of all possible (15,k) systematic cyclic codes.
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