Results 1 to 10 of about 143,981 (279)
Bounds and Constructions of Locally Repairable Codes: Parity-Check Matrix Approach [PDF]
IEEE Transactions on Information Theory, 2020 A $q$-ary $(n,k,r)$ locally repairable code (LRC) is an $[n,k,d]$ linear code over $\mathbb{F}_q$ such that every code symbol can be recovered by accessing at most $r$ other code symbols. The well-known Singleton-like bound says that $d \le n-k-\lceil k/r\rceil +2$ and an LRC is said to be optimal if it attains this bound.
Jie Hao +5 more
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Localized statistics decoding for quantum low-density parity-check codes. [PDF]
Nat CommunQuantum low-density parity-check codes are a promising candidate for fault-tolerant quantum computing with considerably reduced overhead compared to the surface code.
Hillmann T +5 more
europepmc +2 more sources
Ldpc Code Construction using Randomly Permutated Copies of Parity Check Matrix [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2018 A construction technique is proposed for low-density parity check (LDPC) codes. It uses a base parity check matrix designed from a ran-dom or constructed construction method as Gallager or Quasi-Cyclic LDPC (QC-LDPC) codes in sequence to get codes with ...
Amr lulu, Ammar Abu-Hudrouss
doaj +2 more sources
Neural Decoder for Topological Codes using Pseudo-Inverse of Parity Check Matrix [PDF]
2019 IEEE Information Theory Workshop (ITW), 2019 Recent developments in the field of deep learning have motivated many researchers to apply these methods to problems in quantum information. Torlai and Melko first proposed a decoder for surface codes based on neural networks. Since then, many other researchers have applied neural networks to study a variety of problems in the context of decoding.
Chinni, Chaitanya +4 more
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Iterative Soft Input Soft Output Decoding of Reed-Solomon Codes by Adapting the Parity Check Matrix [PDF]
IEEE Transactions on Information Theory, 2005 An iterative algorithm is presented for soft-input-soft-output (SISO) decoding of Reed-Solomon (RS) codes. The proposed iterative algorithm uses the sum product algorithm (SPA) in conjunction with a binary parity check matrix of the RS code.
Jiang, Jing, Narayanan, Krishna R.
core +7 more sources
Low density parity check codes with semi-randomparity check matrix
Electronics Letters, 1999 A semi-random approach to low density parity check code design is shown to achieve essentially the same performance as an existing method, but with considerably reduced complexity.
null Li Ping +2 more
openaire +2 more sources
ON THE CLASS OF ARRAY-BASED APM-LDPC CODES [PDF]
Journal of Algebraic Systems, 2021 We construct an explicit class of affine permutation matrix low-density parity-check (APM-LDPC) codes based on the array parity-check matrix by using two affine maps f (x) = x-1 and g(x) = 2x-1 on Z_m, where m is an odd prime number, with girth 6 and ...
A. Nassaj, A. R. Naghipour
doaj +1 more source
An improved method for counting 6-cycles in low-density parity-check codes [PDF]
Serbian Journal of Electrical Engineering, 2023 Since their rediscovery in the early 1990s, low-density parity-check (LDPC) codes have become the most popular error-correcting codes owing to their excellent performance. An LDPC code is a linear block code that has a sparse parity-check matrix.
Slimani Djamel, Kaddai Abdellah
doaj +1 more source
Adaptive Audio Steganography Based on Improved Syndrome-Trellis Codes
IEEE Access, 2021 Syndrome-Trellis Code (STC) is a near-optimal convolutional method for adaptive steganography. Hitherto, the existing adaptive steganography commonly depends on the carefully designed distortion cost function, which controls the embedding position of the
Kaiyu Ying +3 more
doaj +1 more source
Single-step parity check gate set for quantum error correction [PDF]
Quantum Science and Technology, 2023 A key requirement for an effective quantum error correction (QEC) scheme is that the physical qubits have error rates below a certain threshold. The value of this threshold depends on the details of the specific QEC scheme, and its hardware-level ...
Gözde Üstün, A. Morello, S. Devitt
semanticscholar +1 more source