Search Results - "special issues: on coding theory and combinatorics: in memory of vera pless"

A new method for constructing linear codes with small hulls by Qian, Liqin, Cao, Xiwang, Lu, Wei, Solé, Patrick

“…The hull of a linear code over finite fields is the intersection of the code and its dual, which was introduced by Assmus and Key. In this paper, we develop a…”
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Weight distribution of double cyclic codes over Galois rings by Gao, Jian, Meng, Xiangrui, Fu, Fang-Wei

“…In this paper, we determine the weight distribution of several classes of double cyclic codes over Galois rings by Gauss sums…”
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The build-up construction over a commutative non-unital ring by Alahmadi, Adel, Alkathiry, Amani, Altassan, Alaa, Bonnecaze, Alexis, Shoaib, Hatoon, Solé, Patrick

“…There is a local ring I of order 4,  without identity for the multiplication, defined by generators and relations as I = ⟨ a , b ∣ 2 a = 2 b = 0 , a 2 = b , a…”
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Self-orthogonal codes over a non-unital ring and combinatorial matrices by Shi, Minjia, Wang, Shukai, Kim, Jon-Lark, Solé, Patrick

“…There is a local ring E of order 4,  without identity for the multiplication, defined by generators and relations as E = ⟨ a , b ∣ 2 a = 2 b = 0 , a 2 = a , b…”
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Variants of Jacobi polynomials in coding theory by Chakraborty, Himadri Shekhar, Miezaki, Tsuyoshi

“…In this paper, we introduce the notion of the complete joint Jacobi polynomial of two linear codes of length  n over F q and Z k . We give the MacWilliams type…”
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Compatible difference packing set systems and their applications to multilength variable-weight OOCs by Qin, Rongcun, Zhao, Hengming, Yu, Huangsheng

“…In a study of multilength variable-weight optical orthogonal codes (MLVWOOCs), compatible ( N ,  M ,  W , 1,  Q ; 2) difference packing (briefly ( N ,  M ,  W…”
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A new construction of linear codes with one-dimensional hull by Sok, Lin

“…The hull of a linear code C is the intersection of C with its dual C ⊥ . The hull with low dimensions gets much interest due to its crucial role in determining…”
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On Pless symmetry codes, ternary QR codes, and related Hadamard matrices and designs by Tonchev, Vladimir D.

“…It is proved that a code L ( q ) which is monomially equivalent to the Pless symmetry code C ( q ) of length 2 q + 2 contains the (0,1)-incidence matrix of a…”
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Parallel sub-code construction for constant-dimension codes by He, Xianmang, Chen, Yindong, Zhang, Zusheng, Zhou, Kunxiao

“…Due to the prior work by Köetter and Kschischang (IEEE Trans Inf Theory 54(8):3579–3591, 2008), subspace codes (especially constant-dimension codes, CDC for…”
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On Z2Z4-additive polycyclic codes and their Gray images by Wu, Rongsheng, Shi, Minjia

“…In this paper, we first generalize the polycyclic codes over finite fields to polycyclic codes over the mixed alphabet Z 2 Z 4 , and we show that these codes…”
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(θ,δθ)-Cyclic codes over Fq[u,v]/⟨u2-u,v2-v,uv-vu by Patel, Shikha, Prakash, Om

“…Let F q be the finite field of order q = p m , where p is a prime, m is a positive integer, and R = F q [ u , v ] / ⟨ u 2 - u , v 2 - v , u v - v u ⟩ . Thus R…”
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Symmetric functions and spherical t-designs in R2 by Martínez, Federico N.

“…Given k points in S 1 satisfying certain conditions which are determined through their symmetric functions, we introduce a method for constructing spherical t…”
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Guest editorial: On coding theory and combinatorics—in memory of Vera Pless by Huffman, W. Cary, Kim, Jon-Lark, Solé, Patrick

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Moderate-density parity-check codes from projective bundles by Bariffi, Jessica, Mattheus, Sam, Neri, Alessandro, Rosenthal, Joachim

“…New constructions for moderate-density parity-check (MDPC) codes using finite geometry are proposed. We design a parity-check matrix for the main family of…”
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Steganography from perfect codes on Cayley graphs over Gaussian integers, Eisenstein–Jacobi integers and Lipschitz integers by Kim, Jon-Lark, Park, JunYong

“…Steganography is the science of communicating a secret message by hiding it in a cover object. The well known F5 algorithm is based on binary Hamming codes in…”
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New code-based cryptographic accumulator and fully dynamic group signature by Ayebie, Edoukou Berenger, Souidi, El Mamoun

“…A cryptographic accumulator is a cryptographic primitive which produces a succinct aggregate of a set of elements. This type of scheme allows to produce a…”
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A gapless code-based hash proof system based on RQC and its applications by Bettaieb, Slim, Bidoux, Loïc, Blazy, Olivier, Connan, Yann, Gaborit, Philippe

“…Cramer and Shoup introduced at Eurocrypt’02 the concept of hash proof system, also designated as smooth projective hash functions. Since then, they have found…”
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The concatenated structure of quasi-abelian codes by Borello, Martino, Güneri, Cem, Saçıkara, Elif, Solé, Patrick

“…The decomposition of a quasi-abelian code into shorter linear codes over larger alphabets was given in Jitman and Ling (Des Codes Cryptogr 74:511–531, 2015),…”
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An improved upper bound on self-dual codes over finite fields GF(11), GF(19), and GF(23) by Choi, Whan Hyuk, Kim, Jon Lark

“…This paper gives new methods of constructing symmetric self-dual codes over a finite field GF ( q ) where q is a power of an odd prime. These methods are…”
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MacWilliams extension property for arbitrary weights on linear codes over module alphabets by Dyshko, Serhii, Wood, Jay A.

“…The first author recently proved the extension theorem for linear codes over integer residue rings equipped with the Lee or the Euclidean weight by introducing…”
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