scholarly journals MDS or NMDS self-dual codes from twisted generalized Reed–Solomon codes

2021 ◽  
Author(s):  
Daitao Huang ◽  
Qin Yue ◽  
Yongfeng Niu ◽  
Xia Li
Keyword(s):  
Dual Codes ◽  
Reed Solomon Codes

A Unified Approach to Construct MDS Self-Dual Codes via Reed-Solomon Codes

2020 ◽  
Vol 66 (6) ◽  
pp. 3650-3656 ◽  
Author(s):  
Aixian Zhang ◽  
Keqin Feng
Keyword(s):  
Dual Codes ◽  
Unified Approach ◽  
Reed Solomon Codes

scholarly journals New MDS Self-Dual Codes From Generalized Reed—Solomon Codes

2017 ◽  
Vol 63 (3) ◽  
pp. 1434-1438 ◽  
Author(s):  
Lingfei Jin ◽  
Chaoping Xing
Keyword(s):  
Dual Codes ◽  
Reed Solomon Codes

scholarly journals New Construction of Maximum Distance Separable (MDS) Self-Dual Codes over Finite Fields

Entropy ◽  
2019 ◽  
Vol 21 (2) ◽  
pp. 101 ◽  
Author(s):  
Aixian Zhang ◽  
Zhe Ji
Keyword(s):  
Finite Fields ◽  
Maximum Distance ◽  
Dual Codes ◽  
Self Duality ◽  
Reed Solomon Codes ◽  
Interesting Topic ◽  
Singleton Bound ◽  
Maximum Distance Separable ◽  
New Construction

Maximum distance separable (MDS) self-dual codes have useful properties due to their optimality with respect to the Singleton bound and its self-duality. MDS self-dual codes are completely determined by the length n , so the problem of constructing q-ary MDS self-dual codes with various lengths is a very interesting topic. Recently X. Fang et al. using a method given in previous research, where several classes of new MDS self-dual codes were constructed through (extended) generalized Reed-Solomon codes, in this paper, based on the method given in we achieve several classes of MDS self-dual codes.

The Gender Troubles of Feofan Prokopovich

2020 ◽  
Vol 54 (1-3) ◽  
pp. 198-228
Author(s):  
Gary Marker
Keyword(s):  
Sharp Contrast ◽  
Close Reading ◽  
Dual Codes ◽  
Minimalist Approach ◽  
Holy Women ◽  
Gender Trouble

Abstract This essay constitutes a close reading of the works of Feofan Prokopovich that touch upon gender and womanhood. Interpretively it is informed by Judith Butler’s book Gender Trouble, specifically by her model of gender-as-performance. Prokopovich’s writings conveyed a negative characterization of holy women and Russian women of power, a combination of glaring silences and Scholastic dual codes that in toto denied the association of womanhood with glory or wisdom. In this he stood apart from other East Slavic Orthodox homilists of his day, even though they too invariably associated virtue with masculinity (muzhestvo). For Prokopovich, wisdom, strength, constancy, etc., were innately masculine. Women, by contrast, were weak, inconstant, non-rational, and guided by emotion. His sermons nominally in praise of Catherine I and Anna Ioannovna were suffused with narrative gestures that, to those attuned to the nuances of Scholastic rhetoric, ran entirely counter to their nominal message. Several panegyrics to Anna, for example, made no mention of her at all, a practice in sharp contrast to his sermons to male rulers, which typically placed the honoree firmly in the foreground. Even more startling is his singularly minimalist approach to Mary, for whom he composed almost no sermons and whose presence he barely mentioned in tracts where one would have expected otherwise. This essay concludes that this attitude reflected both his personal preferences and influence that Protestant Pietism had on his thinking.

Self-Dual Codes Over Chain Rings

2019 ◽  
Vol 14 (2) ◽  
pp. 443-456
Author(s):  
Simon Eisenbarth ◽  
Gabriele Nebe
Keyword(s):  
Dual Codes
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