In this paper, we present a new class of public key cryptosystem based on Reed-Solomon codes, a member of the code based PKC(CBPKC), referred to as K(XII)SE(1)PKC. We show that K(XII)SE(1)PKC can be secure against the various attacks. Particularly we present a member of K(XII)SE(1)PKC constructed based on the Reed-Solomon code over the extension field F28 , which is extensively used in the pres...

The Orlik-Solomon algebra of a matroid can be considered as a quotient ring over the exterior algebra E . At first we study homological properties of E-modules as e.g. complexity, depth and regularity. In particular, we consider modules with linear injective resolutions. We apply our results to Orlik-Solomon algebras of matroids and give formulas for the complexity, depth and regularity of such...

In attempting to attain some perspective on Iran in history, I begin, as I think one must, with the Arab-Islamic conquests in the seventh century—that series of epoch-making events following the advent of Islam, the mission of the Prophet Muhammad and the carrying of his message to vast areas east and west from Arabia, and the incorporation of many lands, from the Atlantic and the Pyrenees to t...

s of the 12th Annual Goldschmidt Conference, V. M., Geochim. Cosmochim. Acta, 66(15A), 580. Phinney, E. J., et al. (1999), Sequence stratigraphy, structure, and tectonic history of the southwestern Ontong Java Plateau adjacent to the North Solomon Trench and Solomon islands arc, J. Geophys. Res., 104(B9), 20,449 – 20,466, doi:10.1029/1999JB900169. Phinney, E. J., et al. (2004), Sequence stratig...

We relate the cohomology of the Orlik-Solomon algebra of a discriminantal arrangement to the local system cohomology of the complement. The Orlik-Solomon algebra of such an arrangement (viewed as a complex) is shown to be a linear approximation of a complex arising from the fundamental group of the complement, the cohomology of which is isomorphic to that of the complement with coefficients in ...

Reed-Solomon codes are examples of error correcting codes, in which redundant information is added to data so that it can be recovered reliably despite errors in transmission or storage and retrieval. The error correction system used on CD’s and DVD’s is based on a Reed-Solomon code. These codes are also used on satellite links and other communications systems. We will first discuss the general...

In the last lecture, we studied codes based on univarite polynomials, also known as Reed-Solomon codes, and on multivariate polynomials, also known as Reed-Muller codes. The Reed-Solomon codes had rate R = 1 − δ, which is optimal (given by the Singleton bound), but required alphabets of large size (|Σ| ≥ n). Multivariate polynomials in a constant number of variables, however, gave codes of posi...

SRA used a language-independent, domain-independent, multipurpose text understanding system as the core of the M UC-5 system for extraction from English and Japanese joint venture texts, SRA 's NLP core systelll, SOLOMON, has been under development since 1986. It has been used for a variety of domains, and was aimed from the start to be language-independent, domain-independent, and application-...