124 research outputs found
MacWilliams identities and coordinate partitions
No full textAbstractAny partition of the coordinate set of a linear code is shown to correspond to a set of generalized MacWilliams identities. Thus, a well-chosen partition yields a promising method to settle existence and uniqueness problems. A short proof of an extension of the Assmus-Mattson theorem is given. In the nonlinear case, a generalization of the Delsarte inequalities is obtained
Restrictions on the weight distribution of binary linear codes imposed by the structure of Reed-Muller codes
No full textAbstmcf-The words of a binary linear [n,k] code C whose weights belong to a given subset I C { 0, 1,..., n} constitute a word in a certain Reed-Muller code!R!Dl((r, k). Appropriate choices of I result in low values of the order r and thus yield restrictions on the weight distribution of C. Index I?"- Binary linear d e, affine code, weight distribution, Reed-Muller code. I
Berühmte Söhne und pubertierende Töchter : Eine diachrone Korpusstudie von Adjektivattributen in Kombination mit den Wörtern Sohn und Tochter in deutschen Zeitungsartikeln
No full text‚Doing gender‘ is a concept that underlies much of the research currently being done in the field of gender linguistics in Germany. The concept implies that gender identities are dynamic social constructs to which language use contributes significantly. The media play an important role in this process. Previous studies, both in Germany and in the English-speaking world, have shown that newspapers often resort to stereotypical images when describing male and female persons. According to a 2023 UN report Germans are nowadays much less prejudiced about differences between men and women. The aim of this study was to examine whether this change in attitude is also reflected in the language used by the press. For this purpose, two subcorpora were compiled from the large general Dereko corpus, consisting of all the publications of ten German newspapers and magazines in the years 2008 and 2023. These subcorpora were searched for the adjectival attributes occurring with the words Sohn (‚son‘) and Tochter (‚daughter‘). Results that were irrelevant to the research questions (such as age-related attributes) were filtered out. The remaining attributes were ordered by frequency and classified according to categories inspired by Caldas-Coulthard & Moon (2010). This made it possible to compare the adjectival attributes determining Sohn and Tochter and to make a diachronic comparison between 2008 and 2023. The results show first of all that many of the attributes used are similar for Sohn and Tochter. However, there are also differences, especially regarding social success and the importance of physical beauty, which confirm stereotypes found in previous studies. The differences between 2008 and 2023 were rather limited. The main finding of the study is that, if there is indeed a societal change in gender prejudices, it does not show up in the adjectival attributes used by the news media in the subcorpora
Berühmte Söhne und pubertierende Töchter : Eine diachrone Korpusstudie von Adjektivattributen in Kombination mit den Wörtern Sohn und Tochter in deutschen Zeitungsartikeln
No full text‚Doing gender‘ is a concept that underlies much of the research currently being done in the field of gender linguistics in Germany. The concept implies that gender identities are dynamic social constructs to which language use contributes significantly. The media play an important role in this process. Previous studies, both in Germany and in the English-speaking world, have shown that newspapers often resort to stereotypical images when describing male and female persons. According to a 2023 UN report Germans are nowadays much less prejudiced about differences between men and women. The aim of this study was to examine whether this change in attitude is also reflected in the language used by the press. For this purpose, two subcorpora were compiled from the large general Dereko corpus, consisting of all the publications of ten German newspapers and magazines in the years 2008 and 2023. These subcorpora were searched for the adjectival attributes occurring with the words Sohn (‚son‘) and Tochter (‚daughter‘). Results that were irrelevant to the research questions (such as age-related attributes) were filtered out. The remaining attributes were ordered by frequency and classified according to categories inspired by Caldas-Coulthard & Moon (2010). This made it possible to compare the adjectival attributes determining Sohn and Tochter and to make a diachronic comparison between 2008 and 2023. The results show first of all that many of the attributes used are similar for Sohn and Tochter. However, there are also differences, especially regarding social success and the importance of physical beauty, which confirm stereotypes found in previous studies. The differences between 2008 and 2023 were rather limited. The main finding of the study is that, if there is indeed a societal change in gender prejudices, it does not show up in the adjectival attributes used by the news media in the subcorpora
The [18, 9, 6] code is unique
No full textAbstractThe paper contains a proof that all binary linear [18, 9, 6] codes are equivalent to the extended quadratic residue code of length 18. In addition, a complete description of the words and cosets of this code is given in terms of the special projective structure of the projective line over F17
The [23,14,5] Wagner code is unique
No full textAbstractThe paper contains a proof that all binary linear [23,14,5] codes are equivalent to the code with these parameters that has been discovered by Wagner
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