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  • Solving a set of linear equations is a common problem and often it is transformed into a task of solving a set of linear congruencies. Solving a set of linear congruencies also appears frequently in cryptography and therefore an effective solving algorithms are needed. All algorithms solving this task have been observed to have their bottlenecks in calculating modular reduction as they need to divide. The problem with division or floating point re- mainder instruction is that these instructions have high latencies and are not pipelined. This paper compares several approaches that can be used to perform modular reduction after mul- tiplication in integer and floating point arithmetic and its purpose is to offer a highly system optimized algorithm for modular multiplication with reduction using SIMD extensions.
  • Solving a set of linear equations is a common problem and often it is transformed into a task of solving a set of linear congruencies. Solving a set of linear congruencies also appears frequently in cryptography and therefore an effective solving algorithms are needed. All algorithms solving this task have been observed to have their bottlenecks in calculating modular reduction as they need to divide. The problem with division or floating point re- mainder instruction is that these instructions have high latencies and are not pipelined. This paper compares several approaches that can be used to perform modular reduction after mul- tiplication in integer and floating point arithmetic and its purpose is to offer a highly system optimized algorithm for modular multiplication with reduction using SIMD extensions. (en)
Title
  • System Optimization of Solving a Set of Linear Congruencies
  • System Optimization of Solving a Set of Linear Congruencies (en)
skos:prefLabel
  • System Optimization of Solving a Set of Linear Congruencies
  • System Optimization of Solving a Set of Linear Congruencies (en)
skos:notation
  • RIV/68407700:21230/08:00146129!RIV10-MSM-21230___
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  • Z(MSM6840770014)
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  • 398874
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  • RIV/68407700:21230/08:00146129
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  • set of linear congruencies; sse; system optimization (en)
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  • [2D9BD1D94E9E]
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  • High Tatras - Stará Lesná
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  • Košice
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  • Proceedings of CSE 2008 International Scientific Conference on Computer Science and Engineering
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  • Lórencz, Róbert
  • Zahradnický, Tomáš
  • Vondra, Luboš
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  • Technická univerzita v Košiciach. Fakulta elektrotechniky a informatiky. Katedra počítačov a informatiky
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  • 978-80-8086-092-9
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  • 21230
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