Results 31 to 40 of about 88,220 (263)
Designs, Codes and CryptographyAbstract Multivariate multiplicity codes have been recently explored because of their importance for list decoding and local decoding. Given a multivariate multiplicity code, in this paper, we compute its dimension using Gröbner basis tools, its dual in terms of indicator functions, and explicitly describe a parity-check matrix.
Camps Moreno, Eduardo +5 more
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Code Generation as a Dual Task of Code Summarization
CoRR, 2019 To appear at the 33rd Conference on Neural Information Processing Systems (NeurIPS ...
Bolin Wei +4 more
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γ-Dual Codes over Finite Commutative Chain Rings
AxiomsIn this article, the notion of γ-dual codes over finite chain rings is introduced as an extension of dual codes over finite chain rings. Various characteristics and properties of γ-dual codes over finite chain rings are explored.
Hai Q. Dinh +2 more
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Complementary dual abelian codes in group algebras of some finite abelian groups [PDF]
ITM Web of ConferencesLinear complementary dual codes have become an interesting sub-family of linear codes over finite fields since they can be practically applied in various fields such as cryptography and quantum error-correction. Recently, properties of complementary dual
Jitman Somphong
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Extended binary Golay codes by a group algebra of one group
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 Extended binary Golay codes are examples of extreme binary self-dual codes of Type II (linear binary self-dual codes with Hamming distance between arbitrary codewords which are multiples of 4 that has the highest possible minimum Hamming distance among ...
М. Ю. Бортош +1 more
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Skew Cyclic Codes Over ℤ4 +
IEEE AccessThis paper investigates the algebraic structure and properties of skew cyclic codes over the finite chain ring $R = \mathbb {Z}_{4} + u\mathbb {Z}_{4}$ , where $u^{2} = 0$ .
Eda Tekin
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Unique Generators for Cyclic Codes of Arbitrary Length over Fpmu/u3 and Their Applications
Journal of Mathematics, 2022 Cyclic codes play a very important role in the history of coding theory since they have good algebraic structures that can be widely used in coding and decoding.
Hongju Li +3 more
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On Dual Codes in the Doob Schemes
2019 IEEE International Symposium on Information Theory (ISIT), 2019 The Doob scheme $D(m,n'+n'')$ is a metric association scheme defined on $E_4^m \times F_4^{n'}\times Z_4^{n''}$, where $E_4=GR(4^2)$ or, alternatively, on $Z_4^{2m} \times Z_2^{2n'} \times Z_4^{n''}$. We prove the MacWilliams identities connecting the weight distributions of a linear or additive code and its dual.
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Determining Parental Factors for Clinical Trial Attrition in Pediatric Acute Lymphoblastic Leukemia
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background/Objectives Despite high enrollment rates on Children's Oncology Group (COG) protocols, attrition after initial consent is challenging, introducing bias and prolonging trial completion. While adult oncology literature has identified predictors of withdrawal, little is known about caregiver decision‐making for child participation in ...
Kimberly L. Stathas +3 more
wiley +1 more source
MDR codes and self-dual codes on Cartesian product codes
Tongxin xuebao, 2010 A Cartesian product code of the linear codes C1 , , C s in 1 , ,Z r Z rs was defined. According to the theorem of submodulo isomorphism, the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1 , C 2,
LIU Xiu-sheng
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