Encryption by Augmenting GGH with LWE.
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| Title: | Encryption by Augmenting GGH with LWE. |
|---|---|
| Authors: | Kameswari, P. Anuradha1 dr.pakameswari@andhrauniversity.edu.in, Madhubala, N.2 madhunagabathula@gmail.com |
| Source: | IAENG International Journal of Applied Mathematics. Feb2026, Vol. 56 Issue 2, p615-628. 14p. |
| Subjects: | Cryptography, Cryptosystems, Data encryption, Information technology security |
| Abstract: | Lattice-based cryptography constitutes a prominent class of post-quantum cryptosystems, engineered to withstand assaults from quantum computers while delivering robust security and operational efficiency. A seminal construction in this domain is the Goldreich-Goldwasser-Halevi (GGH) public key cryptosystem, which bases its security on the computational intractability of the Closest Vector Problem (CVP). However, the GGH scheme is vulnerable to cryptanalysis, particularly in lower dimensions, due to the efficacy of the LLL algorithm and its susceptibility to attacks leveraging small error vectors. This paper proposes a hybrid model that augments the GGH framework with the Learning with Errors (LWE) problem and evaluates its performance. This fortified integration demonstrably resists known attacks against GGH, preserving security even in lower dimensions and with minimal error vectors. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 191342799 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Encryption by Augmenting GGH with LWE. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kameswari%2C+P%2E+Anuradha%22">Kameswari, P. Anuradha</searchLink><relatesTo>1</relatesTo><i> dr.pakameswari@andhrauniversity.edu.in</i><br /><searchLink fieldCode="AR" term="%22Madhubala%2C+N%2E%22">Madhubala, N.</searchLink><relatesTo>2</relatesTo><i> madhunagabathula@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Feb2026, Vol. 56 Issue 2, p615-628. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Cryptography%22">Cryptography</searchLink><br /><searchLink fieldCode="DE" term="%22Cryptosystems%22">Cryptosystems</searchLink><br /><searchLink fieldCode="DE" term="%22Data+encryption%22">Data encryption</searchLink><br /><searchLink fieldCode="DE" term="%22Information+technology+security%22">Information technology security</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Lattice-based cryptography constitutes a prominent class of post-quantum cryptosystems, engineered to withstand assaults from quantum computers while delivering robust security and operational efficiency. A seminal construction in this domain is the Goldreich-Goldwasser-Halevi (GGH) public key cryptosystem, which bases its security on the computational intractability of the Closest Vector Problem (CVP). However, the GGH scheme is vulnerable to cryptanalysis, particularly in lower dimensions, due to the efficacy of the LLL algorithm and its susceptibility to attacks leveraging small error vectors. This paper proposes a hybrid model that augments the GGH framework with the Learning with Errors (LWE) problem and evaluates its performance. This fortified integration demonstrably resists known attacks against GGH, preserving security even in lower dimensions and with minimal error vectors. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 615 Subjects: – SubjectFull: Cryptography Type: general – SubjectFull: Cryptosystems Type: general – SubjectFull: Data encryption Type: general – SubjectFull: Information technology security Type: general Titles: – TitleFull: Encryption by Augmenting GGH with LWE. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kameswari, P. Anuradha – PersonEntity: Name: NameFull: Madhubala, N. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 56 – Type: issue Value: 2 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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