On the Construction of 20 x 20 and 24 x 24 Binary Matrices with Good Implementation Properties for Lightweight Block Ciphers and Hash Functions

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dc.authoridAkleylek, Sedat/0000-0001-7005-6489
dc.authoridBULUS, Ercan/0000-0001-9442-6253
dc.authorwosidAkleylek, Sedat/N-2620-2019
dc.authorwosidBULUS, Ercan/AAR-2066-2020
dc.contributor.authorSakalli, Muharrem Tolga
dc.contributor.authorAkleylek, Sedat
dc.contributor.authorAslan, Bora
dc.contributor.authorBulus, Ercan
dc.contributor.authorSakalli, Fatma Buyuksaracoglu
dc.date.accessioned2024-06-12T11:17:31Z
dc.date.available2024-06-12T11:17:31Z
dc.date.issued2014
dc.departmentTrakya Üniversitesien_US
dc.description.abstractWe present an algebraic construction based on state transform matrix (companion matrix) for n x n (where n + 2(k), k being a positive integer) binary matrices with high branch number and low number of fixed points. We also provide examples for 20 x 20 and 24 x 24 binary matrices having advantages on implementation issues in lightweight block ciphers and hash functions. The powers of the companion matrix for an irreducible polynomial over GF(2) with degree 5 and 4 are used in finite field Hadamard or circulant manner to construct 20 x 20 and 24 x 24 binary matrices, respectively. Moreover, the binary matrices are constructed to have good software and hardware implementation properties. To the best of our knowledge, this is the first study for n x n (where n not equal 2(k), k being a positive integer) binary matrices with high branch number and low number of fixed points.en_US
dc.description.sponsorshipOMU [PYO.MUH.1904.12.014]en_US
dc.description.sponsorshipSedat Akleylek is partially supported by OMU under the Grant no. PYO.MUH.1904.12.014. The authors thank the anonymous referees for their detailed and very helpful comments and for bringing reference [26] to our attention. The authors also thank Orhun Kara for his valuable comments on the discussion of Remark 7.en_US
dc.identifier.doi10.1155/2014/540253
dc.identifier.issn1024-123X
dc.identifier.issn1563-5147
dc.identifier.scopus2-s2.0-84934918653en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1155/2014/540253
dc.identifier.urihttps://hdl.handle.net/20.500.14551/24744
dc.identifier.volume2014en_US
dc.identifier.wosWOS:000345045300001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofMathematical Problems In Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAlgebraic Constructionen_US
dc.titleOn the Construction of 20 x 20 and 24 x 24 Binary Matrices with Good Implementation Properties for Lightweight Block Ciphers and Hash Functionsen_US
dc.typeArticleen_US

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