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

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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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…”
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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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Self-orthogonal codes over a non-unital ring and combinatorial matrices by Shi, Minjia, Wang, Shukai, Kim, Jon-Lark, Solé, Patrick

“… ⟩ . We study a special construction of self-orthogonal codes over E ,  based on combinatorial matrices related to two-class association schemes, Strongly Regular Graphs (SRG…”
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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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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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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 short…”
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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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Moderate-density parity-check codes from projective bundles by Bariffi, Jessica, Mattheus, Sam, Neri, Alessandro, Rosenthal, Joachim

“… A projective bundle is a special collection of ovals which pairwise meet in a unique point. We determine the minimum distance and the dimension of these codes, and we show that they have a natural quasi-cyclic structure…”
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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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Decoding algorithms of monotone codes and azinv codes and their unified view by Takahashi, Hokuto, Hagiwara, Manabu

“…This paper investigates linear-time decoding algorithms for two classes of error-correcting codes. One of the classes is monotone codes which are known as…”
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Johnson graph codes by Duursma, Iwan, Li, Xiao

“…Array codes are the preferred codes for distributed storage, such that different rows in an array are stored at different nodes. Layered codes use a sparse…”
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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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The concatenated structure of quasi-abelian codes by Borello, Martino, Güneri, Cem, Saçıkara, Elif, Solé, Patrick

“… in IEEE Trans Inf Theory 47:2751–2760, 2001). We give a concatenated decomposition of quasi-abelian codes and show, as in the quasi-cyclic case, that the two decompositions are equivalent…”
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Equidistant permutation group codes by Jafari, Fatemeh, Abdollahi, Alireza, Bagherian, Javad, Khatami, Maryam, Sobhani, Reza

“…We study permutation codes which are groups and all of whose non-identity code elements have the same number of fixed points. It follows that over certain…”
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