The decoding beyond the Bose-Chaudhuri-Hocquenghem (BCH) bound is always an interesting research topic in block error correction codes. However, searching a complete decoding algorithm is not easy since all the error patterns that belong to the coset leaders of the standard array need to be correctable [1]. Both the well-known standard algebraic method and the step-by-step method can be used to...

Error Correcting Codes are required to have a reliable communication through a medium that has an unacceptable bit error rate and low signal to noise ratio. In IEEE 802.15.6 2.4GHz Wireless Body Area Network (WBAN), data gets corrupted during the transmission and reception due to noises and interferences. Ultra low power operation is crucial to prolong the life of implantable devices. Hence sim...

Amino acids have an important role in the pre and post implantation of placenta and embryo development. l-type amino-acid transporter 1 (lat1) is responsible for the transportation of large neutral amino acids and is mainly expressed in human fetal liver, placenta, brain, etc. This study is the first to investigate the expression of lat1 in the early pregnancy of mouse uteri and its role in the...

This paper presents a two-iteration concatenated Bose-Chaudhuri-Hocquenghem (BCH) code and its highspeed low-complexity two-parallel decoder architecture for 100 Gb/s optical communications. The proposed architecture features a very high data processing rate as well as excellent error correction capability. A low-complexity syndrome computation architecture and a high-speed dual-processing pipe...

The Bose, Chaudhuri and Hocquenghem (BCH) codes form a large class of powerful random-error correcting cyclic codes. However, the implementation of its decoder requires high-complexity computation resources with a huge number of sequential circuits. This paper presents a low-complexity register transfer level (RTL) circuit design of a BCH decoder. In accordance with the table relationship betwe...

Still Image/Video is one of the most important and also one of the most challenging types of traffic on communication networks. One of the challenges arises because communication networks can insert errors into still Image/Video, and also compressed image or compressed Video is fragile in the presence of errors; that are a single error can propagate over a large portion of the Image/Video. This...

Il faut distinguer les codes correcteurs d’erreurs de la cryptographie. Les codes correcteurs d’erreur servent à protéger l’information d’erreurs de transmission ou de stockage. On peut trouver dans ce texte, avec des références bibliographiques précises, des idées d’exposés ou d’applications pour plusieurs leçons portant sur l’algèbre linéaire ou les polynômes. (Les titres des leçons sont ceux...

DNA helicases are a class of motor proteins that function to generate the transient single-stranded DNA required as intermediates in DNA and RNA metabolism. These enzymes couple the energy obtained from the binding and hydrolysis of nucleoside 50-triphosphates (NTP) to perform the work of DNA duplex unwinding (strand separation) and translocation of the helicase along the linear DNA filament an...

BCH codes have high error correcting capability which allows classing them as good cyclic error correcting codes. This important characteristic is very useful in communication and data storage systems. Actually after almost 60 years passed from their discovery, their weights enumerators and therefore their analytical performances are known only for the lengths less than or equal to 127 and only...