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TitleA new method for constructing small-bias spaces from Hermitian codes.
Author(s) Olav Geil, Stefano Martin, Ryutaroh Matsumoto
TypeBook, Chapter in Book, Conference Proceeding
AbstractWe propose a new method for constructing small-bias spaces through a combination of Hermitian codes. For a class of parameters our multisets are much faster to construct than what can be achieved by use of the traditional algebraic geometric code construction. So, if speed is important, our construction is competitive with all other known constructions in that region. And if speed is not a matter of interest the small-bias spaces of the present paper still perform better than the ones related to norm-trace codes reported in [12].
KeywordsSmall-bias space, balanced code, Gröbner basis, Hermitian code
ISBN978-3-642-31661-6/pbk
URL http://link.springer.com/chapter/10.1007%2F978-3-642-31662-3_3
LanguageEnglish
Pages29--44
PublisherBerlin: Springer
Year2012
Edition0
Translation No
Refereed No
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