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Z3Z9-Additive Codes

Posted on:2012-12-10Degree:MasterType:Thesis
Country:ChinaCandidate:L R LinFull Text:PDF
GTID:2120330335969511Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
A code C is Z3Z9-additive if it is a non-empty subgroup of Z3α×Z9β. The generator matrix and the standard form are defined. Every Z3Z9-additive code is equivalent to a code with a canonical generator matrix. The dual code is characterized. By using the Gray map over Zpκ, the Singleton bound is given.
Keywords/Search Tags:Z3Z9-additivc codes, dual codes, generator matrix, parity-check matrix, Singleton bound
PDF Full Text Request
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