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STP-LWE: A Variant of Learning with Error for a Flexible Encryption

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  • Bo Gao
  • Yanfeng Shi
  • Chunli Yang
  • Lixiang Li
  • Licheng Wang
  • Yixian Yang

Abstract

We construct a flexible lattice based scheme based on semitensor product learning with errors (STP-LWE), which is a variant of learning with errors problem. We have proved that STP-LWE is hard when LWE is hard. Our scheme is proved to be secure against indistinguishable chosen message attacks, and it can achieve a balance between the security and efficiency in the hierarchical encryption systems. In addition, our scheme is almost as efficient as the dual encryption in GPV08.

Suggested Citation

  • Bo Gao & Yanfeng Shi & Chunli Yang & Lixiang Li & Licheng Wang & Yixian Yang, 2014. "STP-LWE: A Variant of Learning with Error for a Flexible Encryption," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, April.
    • Handle: RePEc:hin:jnlmpe:341490
    DOI: 10.1155/2014/341490
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