Re-keying in Group Key Management for Wireless Sensor Network Using Nested Balanced Incomplete Block Designs.

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Title: Re-keying in Group Key Management for Wireless Sensor Network Using Nested Balanced Incomplete Block Designs.
Authors: Kumari, Prity1 (AUTHOR) prity.phd20@nitap.ac.in, Ratan Singh, Karam1 (AUTHOR) karamratan7@gmail.com
Source: IETE Journal of Research. Sep2025, Vol. 71 Issue 9, p2931-2943. 13p.
Subjects: Block designs, Wireless sensor networks
Abstract: This article presents an Exclusion Basis System (EBS)-based re-keying technique on Nested Balanced Incomplete Block Design (NBIBD), near-resolvable NBIBD, and resolvable NBIBD with the repetition count of every pairwise element greater than or equal to one ( $ \mu _{2} \geq ~1 $ μ 2 ≥ 1) after ejecting a single, simultaneous two and n elements. It is observed that the re-keying message of NBIBD for a single ejection is smaller than that of a Symmetric Balanced Incomplete Block Design (SBIBD). Moreover, when $ \chi =2\kappa _{2} $ χ = 2 κ 2 or $ \chi =2\kappa _{2}+1 $ χ = 2 κ 2 + 1 , with $ \kappa _{2} \geq ~2 $ κ 2 ≥ 2 , the re-keying message of an NBIBD is similar to that of the EBS. However, when $ \kappa = \kappa _{2} = 2 $ κ = κ 2 = 2 , the re-keying message of the NBIBD coincides with that of Balanced Incomplete Block Design (BIBD); otherwise, it is smaller. If ejection increases in simultaneous odd/even order, then the re-keying message decreases in NBIBD for S. T.-I/S. T.-II. Furthermore, when simultaneous ejection increases, then the re-keying message decreases in a resolvable NBIBD with $ \mu _{2}= 1 $ μ 2 = 1. [ABSTRACT FROM AUTHOR]
Copyright of IETE Journal of Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
  Group: Ti
  Data: Re-keying in Group Key Management for Wireless Sensor Network Using Nested Balanced Incomplete Block Designs.
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Kumari%2C+Prity%22">Kumari, Prity</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> prity.phd20@nitap.ac.in</i><br /><searchLink fieldCode="AR" term="%22Ratan+Singh%2C+Karam%22">Ratan Singh, Karam</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> karamratan7@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22IETE+Journal+of+Research%22">IETE Journal of Research</searchLink>. Sep2025, Vol. 71 Issue 9, p2931-2943. 13p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Block+designs%22">Block designs</searchLink><br /><searchLink fieldCode="DE" term="%22Wireless+sensor+networks%22">Wireless sensor networks</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This article presents an Exclusion Basis System (EBS)-based re-keying technique on Nested Balanced Incomplete Block Design (NBIBD), near-resolvable NBIBD, and resolvable NBIBD with the repetition count of every pairwise element greater than or equal to one ( $ \mu _{2} \geq ~1 $ μ 2 ≥ 1) after ejecting a single, simultaneous two and n elements. It is observed that the re-keying message of NBIBD for a single ejection is smaller than that of a Symmetric Balanced Incomplete Block Design (SBIBD). Moreover, when $ \chi =2\kappa _{2} $ χ = 2 κ 2 or $ \chi =2\kappa _{2}+1 $ χ = 2 κ 2 + 1 , with $ \kappa _{2} \geq ~2 $ κ 2 ≥ 2 , the re-keying message of an NBIBD is similar to that of the EBS. However, when $ \kappa = \kappa _{2} = 2 $ κ = κ 2 = 2 , the re-keying message of the NBIBD coincides with that of Balanced Incomplete Block Design (BIBD); otherwise, it is smaller. If ejection increases in simultaneous odd/even order, then the re-keying message decreases in NBIBD for S. T.-I/S. T.-II. Furthermore, when simultaneous ejection increases, then the re-keying message decreases in a resolvable NBIBD with $ \mu _{2}= 1 $ μ 2 = 1. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IETE Journal of Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1080/03772063.2025.2507102
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 13
        StartPage: 2931
    Subjects:
      – SubjectFull: Block designs
        Type: general
      – SubjectFull: Wireless sensor networks
        Type: general
    Titles:
      – TitleFull: Re-keying in Group Key Management for Wireless Sensor Network Using Nested Balanced Incomplete Block Designs.
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            NameFull: Kumari, Prity
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            NameFull: Ratan Singh, Karam
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            – D: 01
              M: 09
              Text: Sep2025
              Type: published
              Y: 2025
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              Value: 71
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              Value: 9
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