Results 21 to 30 of about 1,556 (216)
Cyclic Codes over a Split Local Ring of Type (2,2): Structure, Gray Images, and Distance Analysis
MathematicsWe study cyclic codes over split two-branch finite local rings of the form Rl,m=Fp[u,v]/⟨ul,vm,uv⟩,l,m≥2, whose radical filtration is governed by two independent nilpotent chains: u→u2→⋯→ul−1→0andv→v2→⋯→vm−1→0.
Sami H. Saif, Alhanouf Ali Alhomaidhi
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Construction of a Class of Real Array Rank Distance Codes
Journal of Electrical and Computer Engineering, 2023 Rank distance codes are known to be applicable in various applications such as distributed data storage, cryptography, space time coding, and mainly in network coding.
N. Suresh Babu +3 more
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Linear Algebra and its Applications, 2016 In this paper we investigate the class of constacyclic codes, which is a natural generalization of the class of cyclic and negacyclic codes. This class of codes is interesting in the sense that it contains codes with good or even optimal parameters.
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Repeated-Root Constacyclic Codes of Length nps from Half-Cyclotomic Defining Sets
MathematicsRepeated-root constacyclic codes form an important class of algebraic error-correcting codes, combining the cyclic symmetry of constacyclic codes with the additional multiplicity structure produced by repeated roots.
Alhanouf Ali Alhomaidhi, Sami H. Saif
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On Tight Optimal Conflict-Avoiding Codes for 3, 4, 5 and 6 Active Users
Cybernetics and Information Technologies, 2018 We classify tight optimal conflict-avoiding codes of weights 3, 4, 5 and 6 and given small lengths.
Baicheva Tsonka, Topalova Svetlana
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An Embedding Strategy Using Q-Ary Convolutional Codes for Large and Small Payloads
Mathematics, 2021 Matrix embedding (ME) code is a commonly used steganography technique, which uses linear block codes to improve embedding efficiency. However, its main disadvantage is the inability to perform maximum likelihood decoding due to the high complexity of ...
Jyun-Jie Wang +4 more
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On the number of optimal index codes
2015 IEEE International Symposium on Information Theory (ISIT), 2015 In Index coding there is a single sender with multiple messages and multiple receivers each wanting a different set of messages and knowing a different set of messages a priori. The Index Coding problem is to identify the minimum number of transmissions (optimal length) to be made so that all receivers can decode their wanted messages using the ...
R. Kavitha, B. Sundar Rajan
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Type 1 plasminogen deficiency (PLGD‐1) is an ultra‐rare autosomal recessive disorder caused by variants in the PLG gene and affects approximately 1.6 individuals per million. The condition is characterized by decreased plasminogen levels and impaired function, resulting in fibrin‐rich lesions on mucous membranes throughout the body.
Charles Nakar +7 more
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Constructions of Binary Locally Repairable Codes With Multiple Recovering Sets
IEEE Access, 2021 Locally repairable codes (LRCs) with multiple recovering sets are highly demanded in distributed storage systems. In this letter, we generalize the construction of WZL code proposed by Wang et al.
Jiaming Teng, Lingfei Jin
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction The use of herbal medical preparation (HMP) is rising among pediatric oncology patients, often to manage treatment‐related symptoms. Their effectiveness remains uncertain, and the risk of herb–drug interactions is underestimated.
Orianne Mahot +6 more
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