Residue properties of certain quadratic units
نویسندگان
چکیده
منابع مشابه
Quadratic Residue Covers for Certain Real Quadratic Fields
Let A„{a, b) = {ban+(a-l)/b)2+4an with n > 1 and ¿>|a-l . If W is a finite set of primes such that for each n > 1 there exists some q £W for which the Legendre symbol {A„{a, b)/q) ^ -1 , we call <£ a quadratic residue cover (QRC) for the quadratic fields K„{a, b) = Q{^jA„{a, b)). It is shown how the existence of a QRC for any a, b can be used to determine lower bounds on the class number of K„{...
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• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...
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A long standing problem has been to develop “good” binary linear block codes, C, to be used for error-correction. The length of the block is denoted n and the dimension of the code is denoted k. So in this notation C ⊆ GF (2) is a k-dimensional subspace. Another important parameter is the smallest weight of any non-zero codeword, d. This is related to error-correction because C can correct [d−1...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1985
ISSN: 0022-314X
DOI: 10.1016/0022-314x(85)90051-4