Results 11 to 20 of about 521,304 (203)
Derives an estimate for the error term in the binomial approximation of spectra of BCH codes. This estimate asymptotically improves on the bounds by Sidelnikov (1971), Kasami et al. (1985), and Sole (1990)
Krasikov, I +3 more
core +3 more sources
Using a new parity-check matrix, a class of convolutional codes with a designed free distance is introduced. This new class of codes has many characteristics of BCH block codes, therefore, we call these codes BCH convolutional ...
Eric V. York +3 more
core +5 more sources
A new class of error-correcting codes, which generalizes the BCH codes and the polynomial codes of Goethals is constructed. These new codes have associated designed distances, which give lower bounds for their error-correcting capability.
Miller, Robert L.
core +4 more sources
The Dual Codes of Several Classes of BCH Codes
As a special subclass of cyclic codes, BCH codes have wide applications in communication and storage systems. A BCH code of length n over \mathbb {F}-{q} is always relative to an n-Th primitive root of unity \beta in an extension field of \mathbb {F}-{q}
Ding, Cunsheng +2 more
core +3 more sources
New quantum codes derived from a family of antiprimitive BCH codes [PDF]
The Bose–Chaudhuri–Hocquenghem (BCH) codes have been studied for more than 57 years and have found wide application in classical communication system and quantum information theory. In this paper, we study the construction of quantum codes from a family
Luobin Guo +3 more
core +4 more sources
We develop the theory of a generalization of the notion of BCH-code to additive codes, which are not necessarily linear. The usefulness of this notion is demoestrated by constructing large number of record-breaking linear codes via ...
Bierbrauer, Jürgen, Edel, Yves
core +3 more sources
Historically, LCD cyclic codes were referred to as reversible cyclic codes, which had applications in data storage. Due to a newly discovered application in cryptography, there has been renewed interest in LCD codes. In this paper, we explore two special
Ding, Cunsheng +7 more
core +5 more sources
On the distance distribution of duals of BCH codes [PDF]
We derive upper bounds on the components of the distance distribution of duals of BCH codes. Roughly speaking, these bounds show that the distance distribution can be upper-bounded by the corresponding normal distribution. To derive the bounds we use the
Krasikov, I, I. Krasikov, S. Litsyn
core +2 more sources
Coded-GFDM for Reliable Communication in Underwater Acoustic Channels
The performance of the coded generalized frequency division multiplexing (GFDM) transceiver has been evaluated in a shallow underwater acoustic channel (UAC). Acoustic transmission is the scheme of choice for communication in UAC since radio waves suffer
Mohsin Murad +2 more
doaj +1 more source
Generalized Low-Density Parity-Check Coding Scheme with Partial-Band Jamming
In this study, a class of Generalized Low-Density Parity-Check (GLDPC) codes is designed for data transmission over a Partial-Band Jamming (PBJ) environment.
Qi Li, Xinru Qu, Liuguo Yin, Jianhua Lu
doaj +1 more source

