A Tutorial on AG Code Construction from a Gröbner Basis Perspective

Douglas A. Leonard ()
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Douglas A. Leonard: Auburn University, Department of Mathematics and Statistics

A chapter in Gröbner Bases, Coding, and Cryptography, 2009, pp 93-106 from Springer

Abstract: Abstract This chapter is meant primarily as an introduction to AG codes, with material on producing proper one-point descriptions of these codes as well. The terminology chosen is that of the easily understood concepts of multivariate polynomial rings and ideals of relations among the variables, which is more useful computationally than the more standard algebraic geometry terminology.

Keywords: Linear Code; Solomon Code; Goppa Code; Laurent Series Expansion; Basis Perspective (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/978-3-540-93806-4_6

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