with the growth of technology, supervising systems are increasingly replacing humans in military, transportation, medical, spatial, and other industries. among these systems are machine vision systems which are based on image processing and analysis. one of the important tasks of image processing is classification of images into desirable categories for the identification of objects or their sp...

The number of correctable errors of weight half the minimum distance is given for the first-order binary Reed-Muller codes. It is shown that the size of trial set, which is introduced by Helleseth et al. and can be used for a minimum distance decoding or estimating the number of uncorrectable errors, for the first-order Reed-Muller codes is at least that of minimal codewords except for small code

We show a simple and eecient construction of a pseudo-random generator based on the intractability of an NP-complete problem from the area of error-correcting codes. The generator is proved as secure as a hard instance of the syndrome decoding problem. Each application of the scheme generates a linear amount of bits in only quadratic computing time.

This paper generalizes parallel error correcting codes proposed by Ahlswede et al. over a new type of multiple access channel called parallel error channel. The generalized parallel error correcting codes can handle with more errors compared with the original ones. We show construction methods of independent and non-independent parallel error correcting codes and decoding methods. We derive som...

A new approach for decoding multidimensional (mD) nonsystematic convolutional codes is described. The possibility of coding at different rates along the dimensions of the sequence space is explored and the notion of ordering of information and encoded sequences based on coding rate is explained. Using this technique, a class of fast-decodeable, locally invertible m-D convolutional codes based o...