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تسجيل مستخدم جديدCompressed Modular Matrix Multiplication
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نشر من قبل
Jean-Guillaume Dumas
تاريخ النشر
2008
مجال البحث
الهندسة المعلوماتية
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English
تأليف
Jean-Guillaume Dumas
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We propose to store several integers modulo a small prime into a single machine word. Modular addition is performed by addition and possibly subtraction of a word containing several times the modulo. Modular Multiplication is not directly accessible but modular dot product can be performed by an integer multiplication by the reverse integer. Modular multiplication by a word containing a single residue is a also possible. Therefore matrix multiplication can be performed on such a compressed storage. We here give bounds on the sizes of primes and matrices for which such a compression is possible. We also explicit the details of the required compressed arithmetic routines.
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