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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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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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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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Isometry-dual flags of AG codes [PDF]
Designs, Codes and Cryptography, 2020 Consider a complete flag $\{0\} = C_0 < C_1 < \cdots < C_n = \mathbb{F}^n$ of one-point AG codes of length $n$ over the finite field $\mathbb{F}$. The codes are defined by evaluating functions with poles at a given point $Q$ in points $P_1,\dots,P_n$ distinct from $Q$.
Maria Bras-Amorós +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT End‐of‐life conversations with adolescents and young adults (AYAs) with cancer rarely occur without the guidance of healthcare professionals. As a part of the ‘Difficult Discussions’ study, focused on palliative care and advance care planning discussions with AYAs with cancer, we investigated the factors that healthcare professionals identify ...
Justine Lee +9 more
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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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An Enumeration of the Equivalence Classes of Self-Dual Matrix Codes
, 2015 As a result of their applications in network coding, space-time coding, and coding for criss-cross errors, matrix codes have garnered significant attention; in various contexts, these codes have also been termed rank-metric codes, space-time codes over ...
Morrison, Katherine
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Pediatric sarcomas are a heterogeneous group of tumors that contribute disproportionately to cancer mortality in children. Although congenital anomalies are among the strongest known risk factors for childhood cancer, the risk of specific sarcoma subtypes among affected individuals has not yet been thoroughly evaluated. Procedure We
Russ Wolters +17 more
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FEBS Letters, EarlyView.This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
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