Cryptography and Coding: 8th IMA International Conference by A. Al Jabri (auth.), Bahram Honary (eds.)

By A. Al Jabri (auth.), Bahram Honary (eds.)

The mathematical idea and perform of cryptography and coding underpins the availability of powerful safeguard and reliability for info verbal exchange, processing, and garage. Theoretical and implementational advances within the fields of cryptography and coding are as a result a key consider facilitating the expansion of information communications and knowledge networks of varied forms. therefore, this 8 overseas convention in a longtime and winning IMA sequence at the subject of “Cryptography and Coding” used to be either well timed and correct. The subject of this convention used to be the way forward for coding and cryptography, which used to be touched upon in shows via a couple of invited audio system and researchers. The papers that seem during this publication comprise contemporary learn and improvement in errors regulate coding and cryptography. those begin with mathematical bounds, statistical interpreting schemes for blunders correcting codes, and undetected errors chances and proceed with the theoretical points of errors correction coding comparable to graph and trellis deciphering, multifunctional and a number of entry verbal exchange structures, low density parity payment codes, and iterative deciphering. those are by means of a few papers on key restoration assault, authentication, circulation cipher layout, and research of ECIES algorithms, and lattice assaults on IP established protocols.

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Additional resources for Cryptography and Coding: 8th IMA International Conference Cirencester, UK, December 17–19, 2001 Proceedings

Example text

In [6], Kumar et al. proposes the solutions based on an error correcting code and a cover-free family. The solutions in [6], called the KRS schemes in this paper, are unconditionally secure. Although the solutions in [1, 8] are asymptotically more efficient than the KRS schemes, it is important to improve the efficiency of the KRS schemes. A reason given in [4] is that the KRS schemes are more appropriate than the solutions in [1, 8] for a long-lived broadcast encryption. In fact, the long-lived broadcast encryption schemes based on the KRS schemes are proposed in [4].

We will give the average of σ(Z, S) over the family Ω of the cover-free families under the assumption that each family in Ω is equiprobable. The average is denoted σ ¯ (Z, Ω). In [6], three constructions of cover-free family are proposed. One construction is based on algebraic geometry code, and it is easy to see that the generated cover-free family is impractical [9, 10]. First, we consider the improved KRS scheme using the randomized construction proposed in [6]. In the randomized construction, for given N and K, the (N, K, n, p, α)-cover-free family S = {S1 , S2 , .

The decoders need only allow for two instances, œ all-zero syndromes à vote V sent to all symbols (see sub-code 1 in Fig. 1). œ non-zero syndromes à vote E sent to error position and vote e sent to all other positions (see sub-code 2 in Fig. 1 where ‘X’ indicates error position). Votes V, e and E are given numerical values such that the vote pairs of symbols, either VV, eV, ee, EV, Ee or EE, may be ranked in terms of reliability by the sum of their constituent votes. At each iteration the WBF technique proceeds by: i).

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