Results 11 to 20 of about 1,776 (185)
Construction of Some New Quantum BCH Codes
IEEE Access, 2018 Classical Bose-Chaudhuri-Hocquenghem (BCH) codes over finite fields have been studied extensively. One can construct quantum stabilizer codes with good parameters using classical BCH codes. In this paper, our goal is to find such classical BCH codes.
Ming Zhang +3 more
doaj +1 more source
Coded-GFDM for Reliable Communication in Underwater Acoustic Channels
Sensors, 2022 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
The q-Ary Antiprimitive BCH Codes [PDF]
IEEE Transactions on Information Theory, 2022 It is well-known that cyclic codes have efficient encoding and decoding algorithms. In recent years, antiprimitive BCH codes have attracted a lot of attention. The objective of this paper is to study BCH codes of this type over finite fields and analyse their parameters.
Hongwei Zhu +3 more
openaire +2 more sources
Generalized Low-Density Parity-Check Coding Scheme with Partial-Band Jamming
Tsinghua Science and Technology, 2014 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
Electronic Notes in Discrete Mathematics, 2003 Abstract Kageyama et. al. (1997, 1999), have shown that the incidence matrices of balanced incomplete block designs or 2 - associate partially balanced incomplete block designs or ( r , λ)-designs can be used to construct error correcting codes. In this paper, we will construct some symmetric balanced incomplete block (BIB) designs, group divisible ...
M. L. Agarwal, Seema Gupta
openaire +1 more source
COMPARATIVE ANALYSIS OF LDPC AND BCH CODES ERROR-CORRECTING CAPABILITIES
Information and Telecommunication Sciences, 2014 The error-correcting capabilities of regular LDPC (Low Density Parity Check) codes and BCH (Bose-Chaudhuri-Hocquenguem) codes are examined. The qualitative analysis and the quantitative assessment of error-correcting abilities are performed for LDPC ...
Leonid O. Uryvsky, Serhii O. Osypchuk
doaj +1 more source
Sequences of Primitive and Non-primitive BCH Codes
Trends in Computational and Applied Mathematics, 2018 In this work, we introduce a method by which it is established that; how a sequence of non-primitive BCH codes can be obtained by a given primitive BCH code.
A. S. Ansari +3 more
doaj +1 more source
Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
IEEE Access, 2020 The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors are more probable than qudit ...
Carlos Galindo +3 more
doaj +1 more source
Error Probability Mitigation in Quantum Reading Using Classical Codes
Entropy, 2021 A general framework describing the statistical discrimination of an ensemble of quantum channels is given by the name quantum reading. Several tools can be applied in quantum reading to reduce the error probability in distinguishing the ensemble of ...
Francisco Revson Fernandes Pereira +1 more
doaj +1 more source
Properties of triple error orbits G and their invariants in Bose – Chaudhuri – Hocquenghem codes C7
Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2019 This work is the further development of the theory of norms of syndromes: the theory of polynomial invariants of G-orbits of errors expands with the group G of automorphisms of binary cyclic BCH codes obtained by joining the degrees of cyclotomic ...
V. A. Lipnitski, A. U. Serada
doaj +1 more source