Results 1 to 10 of about 178,102 (268)
On Quasi-Cyclic Codes of Index 3 [PDF]
EntropyQuasi-cyclic codes of index 3 over finite fields are studied. We give a classification of such codes. Their duals with respect to the Euclidean and Hermitian inner products are investigated.
Kanat Abdukhalikov, Rasha M. Shat
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Quantum Block and Convolutional Codes from Self-orthogonal Product Codes [PDF]
Proceedings. International Symposium on Information Theory, 2005. ISIT 2005., 2005 We present a construction of self-orthogonal codes using product codes. From the resulting codes, one can construct both block quantum error-correcting codes and quantum convolutional codes. We show that from the examples of convolutional codes found, we
Grassl, Markus, Roetteler, Martin
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New MDS Euclidean Self-Orthogonal Codes [PDF]
IEEE Transactions on Information Theory, 2021 In this paper, a criterion of MDS Euclidean self-orthogonal codes is presented. New MDS Euclidean self-dual codes and self-orthogonal codes are constructed via this criterion. In particular, among our constructions, for large square $q$, about $\frac{1}{8}\cdot q$ new MDS Euclidean (almost) self-dual codes over $\F_q$ can be produced.
Xiaolei Fang, Meiqing Liu, Jinquan Luo
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Mass Formula for Self-Orthogonal and Self-Dual Codes over Non-Unital Rings of Order Four
Mathematics, 2023 We study the structure of self-orthogonal and self-dual codes over two non-unital rings of order four, namely, the commutative ring I=a,b|2a=2b=0,a2=b,ab=0 and the noncommutative ring E=a,b|2a=2b=0,a2=a,b2=b,ab=a,ba=b.
Adel Alahmadi +4 more
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Transitive distance-regular graphs from linear groups $L(3,q)$, $q = 2,3,4,5$ [PDF]
Transactions on Combinatorics, 2020 In this paper we classify distance-regular graphs, including strongly regular graphs, admitting a transitive action of the linear groups $L(3,2)$, $L(3,3)$, $L(3,4)$ and $L(3,5)$ for which the rank of the permutation representation is at most 15.
Andrea Svob
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Construction of self-orthogonal Z2k-codes [PDF]
Designs, codes and cryptography, 2023 In this paper we give three constructions of cyclic self-orthogonal codes over Z_2^k, for k>=3, from Boolean functions on n variables.
Ban Martinović, Sara, Rukavina, Sanja
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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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Blind Estimation of Spreading Code Sequence of QPSK-DSSS Signal Based on Fast-ICA
Information, 2023 Most of the existing estimation methods of spreading code sequence are not suitable for the QPSK-DSSS. We propose a spreading code sequence estimation method based on fast independent component analysis (Fast-ICA). It mainly includes signal preprocessing,
Lu Xu, Xiaxia Liu, Yijia Zhang
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Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes [PDF]
IEEE Communications Letters, 2020 Due to some practical applications, linear complementary dual (LCD) codes and self-orthogonal codes have attracted wide attention in recent years. In this paper, we use simplicial complexes for construction of an infinite family of binary LCD codes and two infinite families of binary self-orthogonal codes.
Yansheng Wu, Yoonjin Lee
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Blind Estimation of Self-Synchronous Scrambler Using Orthogonal Complement Space in DSSS Systems
IEEE Access, 2022 In a non-cooperative context, a receiver has to estimate the communication parameters without any prior knowledge of the transmitter, which is highly demanding.
Yoonji Kim +3 more
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