Homomorphic Computation in Reed-Muller Codes
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.3001120
Abstract: With the ongoing developments in artificial intelligence (AI), big data, and cloud services, fully homomorphic encryption (FHE) is being considered as a solution for preserving the privacy and security in machine learning systems. Currently, the… read more here.
Keywords: muller codes; addition; homomorphic computation; reed muller ... See more keywords
Optimization and Simplification of PCPA Decoder for Reed-Muller Codes
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Communications Letters"
DOI: 10.1109/lcomm.2022.3163622
Abstract: The collapsed projection-aggregation (CPA) decoder reduces the computational complexity of the recursive projection-aggregation (RPA) decoder by removing the recursive structure. From simulations, the CPA decoder has similar error-correction performance as the RPA decoder, when decoding… read more here.
Keywords: muller codes; decoder; reed muller; pcpa decoder ... See more keywords
On Decoding of Reed-Muller Codes Using a Local Graph Search
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Communications"
DOI: 10.1109/tcomm.2021.3128541
Abstract: We present a novel iterative decoding algorithm for Reed-Muller (RM) codes, which takes advantage of a graph representation of the code. Vertices of the considered graph correspond to codewords, with two vertices being connected by… read more here.
Keywords: muller codes; decoding reed; reed muller; graph ... See more keywords
Information Sets From Defining Sets for Reed–Muller Codes of First and Second Order
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DOI: 10.1109/tit.2018.2817539
Abstract: Reed–Muller codes belong to the family of affine-invariant codes. As such codes, they have a defining set that determines them uniquely, and they are extensions of cyclic group codes. In this paper, we identify those… read more here.
Keywords: sets defining; information; muller codes; first second ... See more keywords
Reed–Muller Codes: Theory and Algorithms
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2020.3004749
Abstract: Reed-Muller (RM) codes are among the oldest, simplest and perhaps most ubiquitous family of codes. They are used in many areas of coding theory in both electrical engineering and computer science. Yet, many of their… read more here.
Keywords: tex math; reed muller; inline formula; muller codes ... See more keywords