Transformation of Binary Linear Block Codes to Polar Codes With Dynamic Frozen

Binary Linear Block Codes

Voronoi regions for binary linear block codes

The Voronoi regions of a block code govern many aspects of the code’s performance on a Gaussian channel, and they are fundamental instruments in, for example, error probability analysis and soft decision decoding. This paper presents an efficient method to find the boundaries of the Voronoi regions for an arbitrary binary linear block code. Two theoretical results together lead to the Voronoi r...

New Binary Linear Codes

Decoding Error Probability of Binary Linear Block Codes

The performance of maximum-likelihood (ML) decoded binary linear block codes is addressed via the derivation of tightened upper bounds on their decoding error probability. The upper bounds on the block and bit error probabilities are valid for any memoryless, binary-input and outputsymmetric communication channel, and their effectiveness is exemplified for various ensembles of turbo-like codes ...

Linear error-block codes

A linear error-block code is a natural generalization of the classical error-correcting code and has applications in experimental design, high-dimensional numerical integration and cryptography. This article formulates the concept of a linear error-block code and derives basic results for this kind of code by direct analogy to the classical case. Some problems for further research are raised. ©...