Results 21 to 30 of about 52,491 (267)
Non-Malleable Code in the Split-State Model
Entropy, 2022 Non-malleable codes are a natural relaxation of error correction and error detection codes applicable in scenarios where error-correction or error-detection is impossible.
Divesh Aggarwal +2 more
doaj +1 more source
On the number of error correcting codes
Combinatorics, Probability and Computing, 2023 AbstractWe show that for a fixed $q$ , the number of $q$ -ary $t$ -error correcting codes of length $n$ is at most $2^{(1 + o(1)) H_q(n,t)}$ for all $t \leq (1 - q^{-1})n - 2\sqrt{n \log n}$ , where $H_q(n, t) = q^n/ V_q(n,t)$ is the Hamming bound and $V_q(n,t)$ is the cardinality of the radius $t$ Hamming ball.
Dingding Dong, Nitya Mani, Yufei Zhao
openaire +5 more sources
Scientific Reports, 2021 Semiconductor superlattice secure key distribution (SSL-SKD) has been experimentally demonstrated to be a novel scheme to generate and agree on the identical key in unconditional security just by public channel.
Jianguo Xie +6 more
doaj +1 more source
New perspectives on covariant quantum error correction [PDF]
Quantum, 2021 Covariant codes are quantum codes such that a symmetry transformation on the logical system could be realized by a symmetry transformation on the physical system, usually with limited capability of performing quantum error correction (an important case ...
Sisi Zhou, Zi-Wen Liu, Liang Jiang
doaj +1 more source
Error Correction Code Transformer
Advances in Neural Information Processing Systems 35, 2022 Error correction code is a major part of the communication physical layer, ensuring the reliable transfer of data over noisy channels. Recently, neural decoders were shown to outperform classical decoding techniques. However, the existing neural approaches present strong overfitting due to the exponential training complexity, or a restrictive inductive
Yoni Choukroun, Lior Wolf
openaire +4 more sources
Quantum Computing with Rotation-Symmetric Bosonic Codes
Physical Review X, 2020 Bosonic rotation codes, introduced here, are a broad class of bosonic error-correcting codes based on phase-space rotation symmetry. We present a universal quantum computing scheme applicable to a subset of this class—number-phase codes—which includes ...
Arne L. Grimsmo +2 more
doaj +1 more source
Theory of quasi-exact fault-tolerant quantum computing and valence-bond-solid codes
New Journal of Physics, 2022 In this work, we develop the theory of quasi-exact fault-tolerant quantum (QEQ) computation, which uses qubits encoded into quasi-exact quantum error-correction codes (‘quasi codes’).
Dong-Sheng Wang +4 more
doaj +1 more source
Codes correcting restricted errors [PDF]
Designs, Codes and Cryptography, 2018 We study the largest possible length $B$ of $(B-1)$-dimensional linear codes over $\mathbb{F}_q$ which can correct up to $t$ errors taken from a restricted set $\mathcal{A}\subseteq \mathbb{F}_q^*$. Such codes can be applied to multilevel flash memories.
Igor E. Shparlinski, Arne Winterhof
openaire +3 more sources
Stabilizer Formalism for Operator Algebra Quantum Error Correction [PDF]
QuantumWe introduce a stabilizer formalism for the general quantum error correction framework called operator algebra quantum error correction (OAQEC), which generalizes Gottesman's formulation for traditional quantum error correcting codes (QEC) and Poulin's ...
Guillaume Dauphinais +2 more
doaj +1 more source
Genetic Optimization of LDPC Codes to Improve the Correction of Burst Errors [PDF]
EPJ Web of Conferences, 2020 Error correction plays a crucial role when transmitting data from the source to the destination through a noisy channel. It has found many applications in television broadcasting services, data transmission in radiation harsh environment (e. g.
Broulím Jan +2 more
doaj +1 more source