Article
Mathematics, Applied
Hai Q. Dinh, Pramod Kumar Kewat, Nilay Kumar Mondal
Summary: This paper discusses the Lee distance of negacyclic codes and constacyclic codes over finite fields and chain rings, especially by generalizing to obtain the Lee distance of a more general class of constacyclic codes, and calculates all maximum distance separable (MDS) codes with respect to the Lee distance.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2022)
Article
Computer Science, Information Systems
Luciano Panek, Nayene Michele Paiao Panek
Summary: The paper investigates metrics on linear spaces induced by chain orders and weights, determines the cardinality and classification of optimal anticodes, and identifies all diameter perfect codes for a set of relevant instances on the metric spaces.
IEEE TRANSACTIONS ON INFORMATION THEORY
(2021)
Article
Computer Science, Artificial Intelligence
Raul Perez-Fernandez, Bernard De Baets
Summary: Aggregation theory formalizes the process of combining multiple inputs into a single output mathematically, with both the inputs and output usually being elements of a poset. While historically focusing on real numbers, there is increasing interest in aggregating different types of data. Prominent examples include string aggregation, popular among computer scientists and bioinformaticians, and ranking aggregation, studied in social choice theory since the 18th century. The article proposes a new geometrically oriented understanding to develop a new theory of aggregation, moving away from the current order-based approach.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2021)
Article
Computer Science, Information Systems
Zongbing Lin, Kaimin Cheng
Summary: The paper constructs four families of Z(4)-codes with non-zero Lee weights using their generator matrices, studies the linearity of their Gray images, and obtains a family of optimal binary codes.
Article
Engineering, Electrical & Electronic
Jie Li, Xiaohu Tang, Camilla Hollanti
Summary: In this paper, we propose a generic transformation to address the issue of converting binary MDS array codes. The transformation allows chosen nodes to have optimal repair bandwidth and rebuilding access properties, while preserving the properties of the remaining nodes under certain conditions.
IEEE TRANSACTIONS ON COMMUNICATIONS
(2022)
Article
Telecommunications
Hai Q. Dinh, Pramod Kumar Kewat, Nilay Kumar Mondal
Summary: The passage introduces a method of constructing optimal binary codes of length n using Lee weights.
IEEE COMMUNICATIONS LETTERS
(2021)
Article
Computer Science, Information Systems
Zongbing Lin, Kaimin Cheng
Summary: The study of the Lee weight of quaternary codes plays a crucial role in coding theory. This paper aims to establish the Lee weight distribution of Ck(1), k(2)(d) for each d. Additionally, the linearity and optimality of the Gray image of Ck(1), k(2)(d) are characterized, leading to a family of optimal binary codes. This result generalizes the work of Shi and Wang in 2014.
Article
Computer Science, Theory & Methods
Xiang Wang, Yuanjie Wang, Wenjuan Yin, Fang-Wei Fu
Summary: The paper studies perfect permutation codes in S-n under the Kendall tau-metric, answering an open problem and presenting some sufficient conditions for the nonexistence of perfect permutation codes. Further, it proves that there does not exist a perfect t-error-correcting code in S-n for certain values of n and t.
DESIGNS CODES AND CRYPTOGRAPHY
(2021)
Article
Engineering, Electrical & Electronic
Yanxiang Jiang, Bao Wang, Fu-Chun Zheng, Mehdi Bennis, Xiaohu You
Summary: This paper investigates MDS codes and weighted graph-based coded caching in fog radio access networks (F-RANs). The redundant MDS-based coded placement scheme provides redundant coded packets and homogeneous cached contents, which can construct multicast opportunities. The weighted graph-based coded delivery scheme, based on homogeneous cached contents, induces considerable multicast opportunities. By integrating both schemes, a joint MDS codes and weighted graph-based coded caching policy is proposed to minimize the fronthaul load. Theoretical analysis of the policy's performance is conducted by deriving the lower and upper bounds of the fronthaul load. Simulation results show a 44% savings in fronthaul load compared to MDS-based uncoded delivery policy.
IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS
(2022)
Article
Engineering, Electrical & Electronic
Matteo Allaix, Seunghoan Song, Lukas Holzbaur, Tefjol Pllaha, Masahito Hayashi, Camilla Hollanti
Summary: This paper studies the capacity of QPIR from MDS-coded and colluding servers for the first time. Two general classes of QPIR, stabilizer QPIR and dimension-squared QPIR, are defined and their capacities are derived. The general QPIR capacity is derived for the non-colluding case. The proposed capacity-achieving scheme combines different schemes from previous research.
IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS
(2022)
Article
Computer Science, Information Systems
Dongchun Han, Yuan Ren
Summary: This paper aims to derive an upper bound for the maximal length of MDS elliptic codes over F-q with dimension 3 <= k <= q+1-2 root q / 10. The result improves an earlier bound and confirms a conjecture. Notably, the proposed upper bound is tight for odd dimensions and can be achieved by well-designed MDS elliptic codes.
IEEE TRANSACTIONS ON INFORMATION THEORY
(2023)
Article
Computer Science, Information Systems
Ruhao Wan, Yang Li, Shixin Zhu
Summary: MDS self-dual codes have nice algebraic structures and are uniquely determined by lengths. Recently, the construction of MDS self-dual codes of new lengths has become an important and hot issue in coding theory. In this paper, six new classes of MDS self-dual codes are constructed using generalized Reed-Solomon codes and extended GRS codes. These constructions significantly increase the proportion of known MDS self-dual codes relative to possible ones.
IEEE TRANSACTIONS ON INFORMATION THEORY
(2023)
Article
Telecommunications
Xiaoxiao Li, Minjia Shi
Summary: By utilizing a triple of simplicial complexes, trace codes over a cubic ring extension of the binary field are constructed. A linear Gray map produces multiple infinite families of binary few-weight codes with up to 9 weights, and equating two complexes in the triple leads to minimal and distance optimal binary three-weight codes.
IEEE COMMUNICATIONS LETTERS
(2021)
Article
Engineering, Electrical & Electronic
Ferhat Yarkin, Justin P. Coon
Summary: This paper proposes two novel modulation concepts based on a simple MDS code, which achieve better error performance than IM and related schemes. The first concept uses amplitude and phase levels, while the second one uses in-phase and quadrature components to construct the MDS code. Practical schemes for using the proposed concepts with OFDM are depicted. Performance analysis in terms of minimum Euclidean distance and bit error rate is presented. The proposed techniques exhibit desirable properties such as low-complexity detection, simple bits-to-symbols and symbols-to-bits mappings, and better error performance compared to OFDM-IM and related schemes.
IEEE TRANSACTIONS ON COMMUNICATIONS
(2022)
Article
Computer Science, Artificial Intelligence
Yiming Hu, Xingang Wang, Qingyi Gu
Summary: PWSNAS is a general and effective framework for neural architecture search, which improves the accuracy of performance estimation by automatically shrinking the search space and introducing a new metric. Experimental results on the NASBench-201 dataset verify the superiority of this framework over state-of-the-art NAS methods such as SPOS, FairNAS, and ProxylessNAS.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Chemistry, Analytical
Ramya Selvaraj, K. T. Abdul Nasir, Nilesh J. Vasa, S. M. Shiva Nagendra
SENSORS AND ACTUATORS B-CHEMICAL
(2017)
Article
Optics
Ramya Selvaraj, Nilesh J. Vasa, S. M. Shiva Nagendra
Article
Chemistry, Analytical
Ramya Selvaraj, Nilesh J. Vasa, S. M. Shiva Nagendra
ANALYTICAL CHEMISTRY
(2019)
Article
Mathematics
Gnana Sudha Irrinki, R. S. Selvaraj
DISCRETE MATHEMATICS
(2020)
Review
Biochemistry & Molecular Biology
Ramya Selvaraj, Nilesh J. Vasa, S. M. Shiva Nagendra, Boris Mizaikoff
Article
Engineering, Environmental
Krishnasamy Sivagami, Govindaraj Divyapriya, Ramya Selvaraj, P. Madhiyazhagan, N. Sriram, Indumathi Nambi
Summary: The catalytic pyrolysis of various types of polyolefin and multilayer plastic waste using commercial zeolite catalyst in a batch pilot scale reactor was studied. It was found that BOPP based plastic waste exhibited higher oil yield and calorific value, and by modifying the feed composition, the physicochemical characterization of the resulting pyrolysis oil could be significantly altered.
PROCESS SAFETY AND ENVIRONMENTAL PROTECTION
(2021)
Proceedings Paper
Engineering, Electrical & Electronic
Ramya Selvaraj, Nilesh J. Vasa, Shiva S. M. Nagendra
2019 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO)
(2019)
Article
Computer Science, Theory & Methods
Irrinki Gnana Sudha, R. S. Selvaraj
DESIGNS CODES AND CRYPTOGRAPHY
(2018)
Proceedings Paper
Engineering, Electrical & Electronic
Ramya Selvaraj, Nilesh J. Vasa, Shiva S. M. Nagendra
2017 CONFERENCE ON LASERS AND ELECTRO-OPTICS EUROPE & EUROPEAN QUANTUM ELECTRONICS CONFERENCE (CLEO/EUROPE-EQEC)
(2017)
