Applied Algebra, Algebraic Algorithms and Error-Correcting Codes Book

	Minimum Distance Decoding Algorithms for Linear Codes	1
	Efficient Multivariate Factorization over Finite Fields	15
	On Maximal Codes in Polynomial Metric Spaces	29
	Yet Another Ideal Decomposition Algorithm	39
	A Resultant Theory for Ordinary Algebraic Differential Equations	55
	The Symmetry Group of [actual symbol not reproducible] in the Lee Space and the Z[subscript q]n-Linear Codes	66
	On Repeated-Root Cyclic Codes and the Two-Way Chain Condition	78
	Exponentiation in Finite Fields: Theory and Practice	88
	Computing Minimum-Link Path in a Homotopy Class amidst Semi-Algebraic Obstacles in the Plane	114
	Certain Self-Dual Codes over Z[subscript 4] and the Odd Leech Lattice	130
	Order Functions and Evaluation Codes	138
	Codes from Cocycles	151
	A Brief Tour of Split Linear Programming	164
	Elementary Approximation of Exponentials of Lie Polynomials	174
	On the q-ary Image of Cyclic Codes	189
	The Split Weight [actual symbol not reproducible] Enumeration of Reed-Muller Codes for [actual symbol not reproducible]	197
	Optimal Linear Codes of Dimension 4 over GF(5)	212
	Characterisations of Lexicographic Sets and Simply-Connected Hilbert Schemes	221
	An Iterative Probabilistic Decoding Algorithm for Binary Linear Block Codes Beyond the Half Minimum Distance	237
	Security Examination of a Cellular Automata Based Pseudorandom Bit Generator Using an Algebraic Replica Approach	250
	Formal Duality of Linearly Presentable Codes over a Galois Field	263
	Trace-Function on a Galois Ring in Coding Theory	277
	A Vector Version of the BMS Algorithm for Implementing Fast Erasure-and-Error Decoding of One-Point AG Codes	291
	On Generalized Hamming Weights of Codes Constructed on Affine Algebraic Sets	311
	Some Results on Regular Mappings	321
	Extension Theorems for Linear Codes over Finite Rings	329
	Nonperiodic Cyclic Equivalence Classes of Cyclic Codes and Algebraic Constructions of Cyclically Permutable Codes	341
	Authors' Index	353