BCH code: Difference between revisions

Revision as of 12:03, 17 November 2003

Revision as of 23:16, 22 November 2003

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''Note:'' BCH codes are not limited to [[binary]] codes, but may be used with multilevel [[phase-shift keying]] whenever the number of levels is a prime number or a power of a prime number, such as 2, 3, 4, 5, 7, 8, 11, and 13. A BCH code in 11 levels has been used to represent the 10 decimal digits plus a sign [[digit]].

BCH codes make use of [[field theory]] and polynomials over that field. The way the check polynomial is constructed provides the key to indicating that an error has occuredoccurred.

If we wish to construct a BCH code to detect and correct 2 errors we use the [[field]] GF(16) or '''Z'''₂[''x'']/<''x''⁴+''x''+1>