Results 51 to 60 of about 9,399 (155)
ABSTRAK Pada jaringan masa depan melibatkan komunikasi antara mesin dan manusia. Penelitian ini mengusulkan konsep coding dalam jaringan menggunakan Maximum Distance Separable (MDS) codes.
SOLICHAH LARASATI, KHOIRUN NI’AMAH
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Breaking the MDS-PIR Capacity Barrier via Joint Storage Coding
The capacity of private information retrieval (PIR) from databases coded using maximum distance separable (MDS) codes was previously characterized by Banawan and Ulukus, where it was assumed that the messages are encoded and stored separably in the ...
Hua Sun, Chao Tian
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On negacyclic MDS-convolutional codes
New families of classical and quantum optimal negacyclic convolutional codes are constructed in this paper. This optimality is in the sense that they attain the classical (quantum) generalized Singleton bound. The constructions presented in this paper are performed algebraically and not by computational search.
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The Internet of Things (IoT) is a promising technology for the collection data among the seamless connectivity with massive physical devices for future 5G networks.
Shushi Gu +4 more
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Applied quasi-cyclic LDPC codes from doubly-extended RS code and cyclic MDS code
Based on doubly-extended RS codes and cyclic MDS codes,two construction schemes were proposed for ap-plied quasi-cyclic LDPC codes whose Tanner graph is free of 4-cycles.In the first approach,all the nonzero codewords within a doubly-extended RS code ...
ZHANG Guo-hua, WANG Xin-mei
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Direct construction of quasi-involutory recursive-like MDS matrices from 2-cyclic codes
A good linear diffusion layer is a prerequisite in the design of block ciphers. Usually it is obtained by combining matrices with optimal diffusion property over the Sbox alphabet.
Victor Cauchois +2 more
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New Systematic MDS Array Codes With Two Parities
Row-diagonal parity (RDP) code is a classical $(k+2,~k)$ systematic maximum distance separable (MDS) array code with $k \leq L-1$ under sub-packetization level $l = L-1$ , where L is a prime integer.
Lan Ma +4 more
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Group Codes Over Dihedral Group Algebras 𝔽q[D16] and 𝔽q[Z2 × D8]
Let Fq denote a finite field of characteristic p, where q=pk for some prime p and integer k. Let Dn represent a dihedral group of order n. In this paper, group codes in the dihedral group algebras FqD16 and FqZ2×D8 are proposed.
Zhihao Tian, Yanyan Gao
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An improved Singleton-type upper bound is presented for the list decoding radius of linear codes, in terms of the code parameters [n,k,d] and the list size L. L-MDS codes are then defined as codes that attain this bound (under a slightly stronger notion of list decodability), with 1-MDS codes corresponding to ordinary linear MDS codes.
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Abstract Poset metrics in the context of stabilizer codes are investigated. We establish a Singleton-type bound for stabilizer poset codes and introduce the notion of MDS stabilizer poset codes. Several characterizations of these codes are obtained, including criteria in terms of additive codes and perfect codes.
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