By Jiageng Chen, Atsuko Miyaji (auth.), Alfredo Cuzzocrea, Christian Kittl, Dimitris E. Simos, Edgar Weippl, Lida Xu (eds.)
This quantity constitutes the refereed court cases of 2 workshops: the second one overseas Workshop on smooth Cryptography and safeguard Engineering (MoCrySEn 2013) and the 3rd overseas Workshop on protection and Cognitive Informatics for native land protection (SeCIHD 2013) held in the framework of the IFIP 8.4, 8.9, TC five foreign Cross-Domain convention, CD-ARES 2013, in Regensburg, Germany, in September 2013. The sixteen revised papers offered at MoCrySEn 2013 have been rigorously reviewed and chosen from 30 submissions. They care for symmetric-key cryptography, public-key cryptography, algorithmic cryptanalysis, software program and implementation of cryptographic algorithms, database encryption, and interplay among cryptographic conception and implementation concerns. The 15 papers awarded at SeCIHD 2013 are geared up in topical sections on cyber defense and dependability, community safety and privateness, and multimedia expertise for place of birth defense.
Read or Download Security Engineering and Intelligence Informatics: CD-ARES 2013 Workshops: MoCrySEn and SeCIHD, Regensburg, Germany, September 2-6, 2013. Proceedings PDF
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Extra resources for Security Engineering and Intelligence Informatics: CD-ARES 2013 Workshops: MoCrySEn and SeCIHD, Regensburg, Germany, September 2-6, 2013. Proceedings
G. Ray Proposition 5. Let B = Serial(β, 1, 1, β 2 ) be deﬁned over F2n . Also let γ be the primitive element of F2n and β = γ i such that i ∈ Cs . Then if |Cs | ≥ 4 then B 4 is always an MDS matrix except when |Cs | = 4 and the minimal polynomial of β is x4 + x3 + x2 + x + 1 or x4 + x3 + 1 and also when |Cs | = 7 and the minimal polynomial of β is x7 + x6 + x5 + x4 + 1. Remark 8. Similar to Remark 6, if we take β = α in Proposition 5, where α is the root of the constructing polynomial of F2n , we get another eﬃcient MDS matrix Serial(α, 1, 1, α2 )4 in canonical representation of F2n .
In , authors construct new involutory MDS matrices using properties of Cauchy matrices. Authors of  deﬁned Serial(z0 , . . , zd−1 ), which is the companion matrix of z0 + z1 x + z2 x2 + . . + zd−1 xd−1 + xd . Their objective was to ﬁnd suitable candidates so that Serial(z0 , . . , zd−1 )d is an MDS matrix. In , authors proposed an MDS matrix Serial(1, 2, 1, 4)4 over F28 for AES MixColumn operation which has compact and improved hardware footprint . It is to be noted that in Serial(1, 2, 1, 4), z0 = z2 = 1, z1 = 2 = α and z3 = 4 = α2 , where α is the root of the irreducible polynomial x8 + x4 + x3 + x + 1.
We construct lightweight 4 × 4 and 5 × 5 MDS matrices over F2n for all n ≥ 4. An algorithm is presented to check if a given matrix is MDS. The algorithm follows from the basic properties of MDS matrix and is easy to implement. Keywords: Diﬀusion, Companion matrix, MDS matrix, MixColumn operation, minimal polynomial. 1 Introduction Claude Shannon, in his paper “Communication Theory of Secrecy Systems” , deﬁned confusion and diﬀusion as two properties, required for the design of block ciphers.