JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (05): 7-11.doi: 10.6040/j.issn.1671-9352.0.2014.379

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Communication rate in the secret reconstruction phase

ZHANG Ben-hui1, TANG Yuan-sheng2, CHEN Wen-bing2   

  1. 1. School of Mathematical Science, Huaibei Normal University, Huaibei 235000, Anhui, China;
    2. School of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China
  • Received:2014-08-20 Online:2015-05-20 Published:2015-05-29

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Abstract: Communication rate is an extremely important concept in the field of secret sharing. It was proved that the communication rate ρ=v/((v+t-l)l) of the ideal (t,n)-threshold secret sharing scheme constructed by the existing solution couldn't meet the bound. Based on this scheme, an improved reconstruction algorithm was proposed and a higher communication rate ρ'=v/((t-l)(t-1)+tv)(≥ρ) was figured out. The result proves that ρ' is greater than the lower bound 1/t and can achieve the upper bound v/(t+v-1) when l=t+v-1.

Key words: secret sharing, reconstruction algorithm, communication rate

CLC Number: 

  • TP309
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