7,693 research outputs found

    On quadratic residue codes and hyperelliptic curves

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    A long standing problem has been to develop "good" binary linear codes to be used for error-correction. This paper investigates in some detail an attack on this problem using a connection between quadratic residue codes and hyperelliptic curves. One question which coding theory is used to attack is: Does there exist a c<2 such that, for all sufficiently large pp and all subsets S of GF(p), we have |X_S(GF(p))| < cp?Comment: 18 pages, no figure

    Geometry and Mathematics Through Bridge Building

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    A primer on computational group homology and cohomology

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    These are expanded lecture notes of a series of expository talks surveying basic aspects of group cohomology and homology. They were written for someone who has had a first course in graduate algebra but no background in cohomology. You should know the definition of a (left) module over a (non-commutative) ring, what \zzz[G] is (where GG is a group written multiplicatively and \zzz denotes the integers), and some ring theory and group theory. However, an attempt has been made to (a) keep the presentation as simple as possible, (b) either provide an explicit reference of proof of everything. Several computer algebra packages are used to illustrate the computations, though for various reasons we have focused on the free, open source packages such as GAP and SAGE.Comment: 40+ pages. To appear in conference for the 60th birthday of Tont Gaglion

    Studies in the mechanism of transmission of non-conjugative substituent effects

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    M.S.Charles L. Liott

    Nose gear steering system for vehicle with main skids Patent

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    Nose gear steering system for vehicles with main skids to provide directional stability after loss of aerodynamic contro
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