7,788 research outputs found
On quadratic residue codes and hyperelliptic curves
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 and all
subsets S of GF(p), we have |X_S(GF(p))| < cp?Comment: 18 pages, no figure
A primer on computational group homology and cohomology
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 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
M.S.Charles L. Liott
Nose gear steering system for vehicle with main skids Patent
Nose gear steering system for vehicles with main skids to provide directional stability after loss of aerodynamic contro
Strengthening Enforcement of Humanitarian Law: Reflections on the International Criminal Tribunal for the Former Yugoslavia
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