Applications of quasi-uniform codes to storage

We consider the design of quasi-uniform codes from dihedral 2-groups. Quasi-uniform codes have the distinctive feature of allowing codeword coefficients to live in different alphabets. We obtain a bound on the minimum distance of quasiuniform codes coming from p-groups as a function of the number of...

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Main Authors: Thomas, Eldho K., Oggier, Frédérique
其他作者: School of Physical and Mathematical Sciences
格式: Conference or Workshop Item
語言:English
出版: 2015
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在線閱讀:https://hdl.handle.net/10356/103619
http://hdl.handle.net/10220/24617
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機構: Nanyang Technological University
語言: English
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總結:We consider the design of quasi-uniform codes from dihedral 2-groups. Quasi-uniform codes have the distinctive feature of allowing codeword coefficients to live in different alphabets. We obtain a bound on the minimum distance of quasiuniform codes coming from p-groups as a function of the number of p-ary codeword components. We study possible applications of such codes to storage, where the minimum distance is important to allow object retrieval, yet binary coefficients are preferred for fast computations, for example during repairs.