MacWilliams Identity for Codes with the Rank Metric by Zhiyuan Yan, Maximilien Gadouleau

“…The MacWilliams identity, which relates the weight distribution of a code to the weight distribution of its dual code, is useful in determining the weight distribution of codes. …”
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MacWilliams Identity for Codes with the Rank Metric by Gadouleau Maximilien, Yan Zhiyuan

“…<p>Abstract</p> <p>The MacWilliams identity, which relates the weight distribution of a code to the weight distribution of its dual code, is useful in determining the weight distribution of codes. …”
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READING ‘PRESIDENT’ POEM BY REMY SYLADO'S WITH POSMODERN PARODY by Nur Alifah Septiani, Lismalinda Lismalinda

“…The discourse presented in the text ‘president’ is a dual code discourse related to the president of Indonesia in the past era which was presented at the present time. …”
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On quasi-twisted codes over finite fields by Jia, Yan

“…Furthermore, given the decomposition of a QT code, we can describe the decomposition of its dual code. We also use the generalized discrete Fourier transform to give the inverse formula for both the nonrepeated-root and repeated-root cases. …”
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On some projective triply-even binary codes invariant under the Conway group ${\rm Co}_1$ by Bernardo Rodrigues

“…Moreover, we give a partial description of the nature of the codewords of minimum weight of the dual code.…”
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Transform domain characterization of cyclic codes over Zm by Rajan, Sundar B., Siddiqi, Mohammad Umar

“…Necessary and sufficient conditions for the existence of self-dual codes over Zm are obtained and nonexistence of self-dual codes for certain values of m is proved. …”
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The weights in MDS codes by Ezerman, Martianus Frederic, Grassl, Markus, Sole, Patrick

“…The proof uses the covering radius of the dual code.…”
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Medieval mausoleums of Kazakhstan: Genesis, architectural features, major centres by Eskander Baitenov, Ainagul Tuyakayeva, Gulnara Abdrassilova

“…As determined by the authors so called “dual code׳ was used as per building of medieval Central Asian mausoleums one of which corresponded to the generalized image of domed tomb as per the new ideology (Islam), and the second one matched the existing local forms and their decorative elements. …”
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Universal Precautions Plus: Physician-Directed Strategies for Improving Patient Health Literacy in the Emergency Department by Jamaji C. Nwanaji-Enwerem, Mikhaila Smith-Wilkerson, Brittney Gordon, Helene Okpere, Terrell Jones, Rahel Gizaw, Irfan Husain

“…More specifically, to improve patient understanding and outcomes, emergency physicians can pair universal health literacy precautions with strategies including multiple learning techniques, dual-code theory, empowerment counseling, family buy-in, and hands-on practice. …”
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Scaffolding Comprehension and Recall Gaps: Effects of Paratextual Advance Organizers by Zia Tajeddin

“…Although filling the gap in reading comprehension gained momentum with the rise of the top-down approach, Vygotsky’ concept of scaffolding and the dual code  theory provided a strong support for the use of paratext to enhance comprehension. …”
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Working memory capacity in the production and acquisition of a syntactic rule in L2 speech Capacidade de memória de trabalho na produção e aquisição de uma regra sintática na fala... by Kyria R Finardi, Rosane Silveira

“…Information Processing Theory guides the research, as the authors assume the operation of a dual code cognitive system made up of a rule-based and a memory-based system (SKEHAN, 1998) responsible for analyzing and synthesizing language, respectively. …”
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應用字本位教學法對提升初級華語學習者漢字與詞彙能力之成效研究 Effectiveness of Applying a Character-Based Teaching Method to Improve the Proficiency of Primary Chinese as a Second Language... by 林振興 Zhen-Xing Lin, 王暄博 Hsuan-Po Wang

“…The study aimed to develop a learning strategy for overcoming the difficulty in learning Chinese characters for CSL learners by implementing a combination of a character-based learning method and dual code theory of learning a second language with innovative memory based on cognitive psychology. …”
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On secret sharing schemes and linear codes by Romar Basillaje Dela Cruz

“…We give a characterization of the groups in the access structure using the dual code. We then use a generalized joint weight enumerator to describe the access structure. …”
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Type II codes over F2m + uF2m by Nemenzo, Fidel R., Betsumiya, Koichi, Ling, San

“…We look at the special class of self-dual codes called Type II codes over the alphabet Rm =F2m + uF2m where u2 = 0. …”
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Type II codes over F4+uF4 by Ling, San, Sole, Patrick

“…Self-dual codes over F4 for the Euclidean scalar product [2, 6] and over F2 + uF2 [1, 5] received some attention lately. …”
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Linear codes over F4R and their MacWilliams identity by Benbelkacem, Nasreddine, Ezerman, Martianus Frederic, Abualrub, Taher

“…This work defines linear codes over the ring of mixed alphabets 4R as well as their dual codes under a nondegenerate inner product. We then derive the systematic form of the respective generator matrices of the codes and their dual codes. …”
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On the generalized Hamming weights of certain Reed–Muller-type codes by González-Sarabia Manuel, Jaramillo Delio, Villarreal Rafael H.

“…If 𝕏 is a set of projective points over a finite field we determine the basic parameters and the generalized Hamming weights of the Veronese type codes on 𝕏 and their dual codes in terms of the basic parameters and the generalized Hamming weights of the corresponding projective Reed–Muller-type codes on 𝕏 and their dual codes.…”
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Visual and simulation learning by Tan, Chin Yang.

“…Research in educational and cognitive psychology has revealed that learning is enhanced when information is dual coded in both visual and verbal modes. In practice, classroom use of visual learning techniques to achieve this dual coding effect is most often expressed in the form of graphical organizers. …”
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On skew cyclic codes over $ M_{2}(\mathbb{F}_{2}) $ by Xuesong Si, Chuanze Niu

“…We provide the self-dual skew condition of Hermitian dual codes of skew cyclic codes. The generator polynomials of Euclidean dual codes are obtained. …”
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An explicit class of codes with good parameters and their duals by Özbudak, Ferruh, Ling, San, Xing, Chaoping

“…We give direct constructions of the dual codes and obtain self-orthogonal codes with good parameters.…”
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