Series-3 (May – June 2023)May – June 2023 Issue Statistics
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| Paper Type | : | Research Paper |
| Title | : | A Class of 3 –TA Codes |
| Country | : | |
| Authors | : | Anu Kathuria |
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: | 10.9790/5728-1903030104  |
Abstract : In this paper we propose an explicit construction of a new class of 3-TA (Traceable Codes) of size (2n-2) and length ( 2n-2), n > 1. By the definition of Traceable code in [3] for a code C being 3-TA , minimum distance d of the code is given by d >(1−1𝑐2 )n, n is the length of the code and c defines the number of colluders. In that paper we have tried to give the answer of the open problem mentioned in [4 ]. Can we design c-TA codes for which q <𝑐2also ? , q defines the size of field and 𝑐 defines the number of colluders.
Keywords: Traceable (TA) Code, Hamming Code, Latin Square, Combinatorics.
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[4]. D.R. Stinson , R. Wei ,"Combinatorial Properties and Constructions of traceability schemes and frameproof codes" SIAM Journal of Discrete Mathematics, vol.2 ,pp. 41-53,1998.
[5]. D.R. Stinson , T. Van Trung, R. Wei ,"Secure frameproof codes, Key Distribution Patterns and related structures "J. Statistical Planning Inference vol. 86(2),(2000),pp. 595-617.
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| Paper Type | : | Research Paper |
| Title | : | Even Sum Labeling Of Subdivision, Super Subdivision And Arbitrary Super Subdivision Of Graphs |
| Country | : | India |
| Authors | : | M. M. Trivedi || Venus Chaudhary |
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: | 10.9790/5728-1903030511 |
Abstract :This Study Focuses On Even Sum Property Of Graphs In The Context Of Subdivision, Super Subdivision .....
Keywords: Even Sum Labeling, Even Sum Graph, Subdivision, Super Subdivision, Arbitrary Super Subdivision
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[2]. Gallian JA. A dynamic survey of graph labeling. The Electronic Journal of Combinatorics. 2021; 24: # DS6.
[3]. Arockiaraj S, Mahalakshmi P. On odd sum graphs. International Journal of Mathematical Combinatorics. 2013; 4: 58–77.
[4]. Trivedi MM, Chaudhary Venus. Odd sum labeling for complete bipartite graph and its splitting and subdivision. International Journal of Theoretical & Applied Sciences. 2022; 14(2): 26–31.
[5]. Monika K, Murugan K. Odd-even sum labeling of some graphs. International Journal of Mathematics and Soft Computing. 2017; 7(1): 57–63.