The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Nos esquemas de partilha secreta para estruturas de acesso geral, uma questão importante é o número de partilhas distribuídas a cada participante. Contudo, em geral, os esquemas existentes são impraticáveis neste aspecto quando o tamanho da estrutura de acesso é muito grande. Em 2015, foi proposto um esquema de partilha secreta que pode reduzir o número de ações distribuídas a determinados participantes (o esquema A de T15). Neste esquema, podemos selecionar um subconjunto de participantes e reduzir o número de ações distribuídas a qualquer participante que pertença ao subconjunto selecionado, embora este esquema não possa reduzir o número de ações distribuídas a cada participante. Ou seja, este regime não pode reduzir o número de ações distribuídas a cada participante que não pertença ao subconjunto selecionado. Neste artigo, modificamos o esquema A do T15 e propomos um novo esquema de compartilhamento de segredos realizando estruturas de acesso geral. O esquema proposto também pode reduzir o número de ações distribuídas a cada participante que não pertença ao subconjunto selecionado. Ou seja, o esquema proposto é mais eficiente que o esquema A do T15.
Kouya TOCHIKUBO
Nihon University
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Kouya TOCHIKUBO, "Improvement of General Secret Sharing Scheme Reducing Shares Distributed to Specified Participants" in IEICE TRANSACTIONS on Fundamentals,
vol. E102-A, no. 6, pp. 808-817, June 2019, doi: 10.1587/transfun.E102.A.808.
Abstract: In secret sharing schemes for general access structures, an important issue is the number of shares distributed to each participant. However, in general, the existing schemes are impractical in this respect when the size of the access structure is very large. In 2015, a secret sharing scheme that can reduce the number of shares distributed to specified participants was proposed (the scheme A of T15). In this scheme, we can select a subset of participants and reduce the number of shares distributed to any participant who belongs to the selected subset though this scheme cannot reduce the number of shares distributed to every participant. In other words, this scheme cannot reduce the number of shares distributed to each participant who does not belong to the selected subset. In this paper, we modify the scheme A of T15 and propose a new secret sharing scheme realizing general access structures. The proposed scheme can reduce the number of shares distributed to each participant who does not belong to the selected subset as well. That is, the proposed scheme is more efficient than the scheme A of T15.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E102.A.808/_p
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@ARTICLE{e102-a_6_808,
author={Kouya TOCHIKUBO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Improvement of General Secret Sharing Scheme Reducing Shares Distributed to Specified Participants},
year={2019},
volume={E102-A},
number={6},
pages={808-817},
abstract={In secret sharing schemes for general access structures, an important issue is the number of shares distributed to each participant. However, in general, the existing schemes are impractical in this respect when the size of the access structure is very large. In 2015, a secret sharing scheme that can reduce the number of shares distributed to specified participants was proposed (the scheme A of T15). In this scheme, we can select a subset of participants and reduce the number of shares distributed to any participant who belongs to the selected subset though this scheme cannot reduce the number of shares distributed to every participant. In other words, this scheme cannot reduce the number of shares distributed to each participant who does not belong to the selected subset. In this paper, we modify the scheme A of T15 and propose a new secret sharing scheme realizing general access structures. The proposed scheme can reduce the number of shares distributed to each participant who does not belong to the selected subset as well. That is, the proposed scheme is more efficient than the scheme A of T15.},
keywords={},
doi={10.1587/transfun.E102.A.808},
ISSN={1745-1337},
month={June},}
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TY - JOUR
TI - Improvement of General Secret Sharing Scheme Reducing Shares Distributed to Specified Participants
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 808
EP - 817
AU - Kouya TOCHIKUBO
PY - 2019
DO - 10.1587/transfun.E102.A.808
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E102-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2019
AB - In secret sharing schemes for general access structures, an important issue is the number of shares distributed to each participant. However, in general, the existing schemes are impractical in this respect when the size of the access structure is very large. In 2015, a secret sharing scheme that can reduce the number of shares distributed to specified participants was proposed (the scheme A of T15). In this scheme, we can select a subset of participants and reduce the number of shares distributed to any participant who belongs to the selected subset though this scheme cannot reduce the number of shares distributed to every participant. In other words, this scheme cannot reduce the number of shares distributed to each participant who does not belong to the selected subset. In this paper, we modify the scheme A of T15 and propose a new secret sharing scheme realizing general access structures. The proposed scheme can reduce the number of shares distributed to each participant who does not belong to the selected subset as well. That is, the proposed scheme is more efficient than the scheme A of T15.
ER -