Results 51 to 60 of about 516,863 (164)
Self-Orthogonal Codes Constructed from Posets and Their Applications in Quantum Communication
Mathematics, 2020 It is an important issue to search for self-orthogonal codes for construction of quantum codes by CSS construction (Calderbank-Sho-Steane codes); in quantum error correction, CSS codes are a special type of stabilizer codes constructed from classical ...
Yansheng Wu, Yoonjin Lee
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On the Fan Associated to a Linear Code [PDF]
, 2015 We will show how one can compute all reduced Gröbner bases with re-spect to a degree compatible ordering for code ideals -even though these binomial ideals are not toric. To this end, the correspondence of linear codes and binomial ideals will be briefly described as well as their resemblance to toric ideals.
Natalia Dück +2 more
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Code multiplexing using linear block codes [PDF]
EPJ Web of ConferencesThis paper explores the application of code multiplexing using linear block codes in communication systems. Through a comprehensive analysis of contemporary literature on switching methods and signal modeling, the study investigates the principles of ...
Rabin Alexey +2 more
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Intersection of Isomorphic Linear Codes
Journal of Combinatorial Theory, Series A, 1997 Two \((n,k)\) linear codes are said to be isomorphic if there is a permutation of the coordinates that maps one code onto the other. The intersection of two isomorphic \((n,k)\) codes is an \((n,k')\) code, where clearly \(\max\{0,2k-n\}\leq k' \leq k\). In this paper, the problem of finding all attainable values of \(k'\), called intersection numbers,
Eli Bar-Yahalom, Tuvi Etzion
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Experimental verification of the linear and non-linear versions of a panel code
International Journal of Naval Architecture and Ocean Engineering, 2011 In the proposed paper numerical calculations are carried out using two versions of a three-dimensional, time-domain panel method developed by the group of Prof. P. Sclavounos at MIT, i.e.
G.J. Grigoropoulos +2 more
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On the (29,5)-Arcs in PG(2,7) and Some Generalized Arcs in PG(2,q)
Mathematics, 2020 Using an exhaustive computer search, we prove that the number of inequivalent ( 29 , 5 ) -arcs in PG ( 2 , 7 ) is exactly 22. This generalizes a result of Barlotti (see Barlotti, A.
Iliya Bouyukliev +3 more
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Incidence Matrix Based Construction of Linear Error-Correcting Codes from PG(9,q) and PG(10,q)
مجلة التربية والعلمError-correcting codes over finite projective geometries are of significant value in ensuring data reliability. However, because higher-dimensional spaces are far too computationally complex to tinker with, most research has been concentrated on lower ...
Abdulmuttalib N. M. S Ibrahim +1 more
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IEEE Photonics Journal, 2017 In this paper, the performance of polar code in high-speed coherent optical orthogonal frequency division multiplexing (CO-OFDM) system with nonlinear and linear impairments is comprehensively investigated for the first time.
Ling Liu +5 more
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The Matroid of Supports of A Linear Code [PDF]
Applicable Algebra in Engineering, Communication and Computing, 1997 In this paper the author establishes relations between support weight distributions of a code and the Tutte polynomial of the corresponding matroid. This allows a simple proof of MacWilliams equation for support weight distributions.
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Linear Codes Constructed from Two Weakly Regular Plateaued Functions with Index (p − 1)/2
EntropyLinear codes are the most important family of codes in cryptography and coding theory. Some codes only have a few weights and are widely used in many areas, such as authentication codes, secret sharing schemes and strongly regular graphs.
Shudi Yang, Tonghui Zhang, Zheng-an Yao
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