Results 41 to 50 of about 279 (76)
Constituent Automorphism Decoding of Reed-Muller Codes [PDF]
Inspired by a state-of-the-art decoder for Reed–Muller (RM) codes called automor-phism ensemble (AE) decoding, constituent automorphism (CA) decoding, a new decoding algorithm for RM codes is devised in this thesis.
Qu, Yicheng
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On automorphism groups of polar codes
Over the past years, Polar codes have arisen as a highly effective class of linear codes, equipped with a decoding algorithm of low computational complexity.
Ma, Jicheng, Yan, Guiying
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Using Permutation Groups to Identify Family of Capacity Achieving Codes [PDF]
When communicating over a noisy channel, the probability of message interference sets a maximum possible transmission rate known as the channel capacity.
Welchons, Daniel Joseph
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Improved Generalized Automorphism Belief Propagation Decoding
With the increasing demands on future wireless systems, new design objectives become eminent. Low-density parity-check codes together with belief propagation (BP) decoding have outstanding performance for large block lengths.
Jäkel, Holger +4 more
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Using Permutation Groups to Identify Families of Capacity Achieving Codes [PDF]
When communicating over a noisy channel, the probability of message interference sets a maximum possible transmission rate known as the channel capacity.
Welchons, Daniel
core +1 more source
Endomorphisms of Linear Block Codes
The automorphism groups of various linear codes are extensively studied yielding insights into the respective code structure. This knowledge is used in, e.g., theoretical analysis and in improving decoding performance, motivating the analyses of ...
Jäkel, Holger +3 more
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Spontaneously interacting qubits from Gauss-Bonnet
Building on previous constructions examining how a collection of small, locally interacting quantum systems might emerge via spontaneous symmetry breaking from a single-particle system of high dimension, we consider a larger family of geometric loss ...
Kumar, Rishabh +2 more
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Channel Coding Toward 6G: Technical Overview and Outlook
Channel coding plays a pivotal role in ensuring reliable communication over wireless channels. With the growing need for ultra-reliable communication in emerging wireless use cases, the significance of channel coding has amplified.
Gu, Xinyi +4 more
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