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On Error Correcting Codes and Their Applications

Thesis Info

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Author

Asma Shaheen Ansari

Supervisor

Tariq Shah

Program

PhD

Institute

Quaid-I-Azam University

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2017

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/10326

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726795170

Similar


To expand the use of codes and provide a form of error-correction, it is useful to extend the use of binary streams into another representation. In this work, we have used different monoid rings for the construction of a new family of error correcting codes having better error correction capability. Initially we have constructed binary cyclic codes using monoid rings instead of polynomial ring. For an n length binary cyclic code, three di¤erent binary cyclic codes of length an; bn and abn are obtain. These codes are interleaved codes capable of correcting burst of errors alongwith random error correction. The BCH codes form a class of parameterized error-correcting codes which have been the subject of interest. Instead of primitive BCH codes we have showed the existence of non- primitive BCH codes of length bn over theelds F2, F4 andnite rings Z2m along with their applications. The value of b is investigated for which the existence of the non-primitive BCH code Cbn is assured. It is noticed that the code Cn is embedded in the code Cbn. Therefore, the data transmitted by the code Cn can also be transmitted by the code Cbn. The BCH codes Cbn have better error correction capability whereas the BCH code Cn has better code rate.
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گزرتا ہے تو گزرے بہار کا موسم

گزرتا ہے تو یہ گزرے بہار کا موسم
رہے مدام الٰہی یہ پیار کا موسم

کہاں گئی ہے وہ رُت تیری دید کی جاناں
جو دے گئی ہے مجھے انتظار کا موسم

ٹھہر گیا ہے غم و رنج میرے آنگن میں
کہاں گیا ہے سکون و قرار کا موسم

عجیب بات ہے یارو کہ اس بڑھاپے میں
ہے یاد آنے لگا کوئے یار کا موسم

میں دل کے زخم دکھائوں تو کس طرح تائبؔ
بتائوں کیسے دلِ داغ دار کا موسم

سيميائية اللّون واستراتيجية الدّلالة في شعر حازم رشك: دراسة نفسية تحليلية

يهدف البحث لبيان تأثير الألوان النفسية ومفعولها الفني في بناء القصيدة المعاصرة عند حازم رشك، بما لها من وسْع تعبيري لا يتوافر في اللغة الإنسانية العادية، تلك التي تبدو قاصرة عن ترجمة الأغوار النفسية، واستكناه عنصر الطبيعة في تناسق ألوانها اللامتناهي الذي يُعدّ مادة خصبة للفيض الفني عند الشعراء المبدعين. ولتثبيت الحقائق سلكت الدراسة منهجاً إحصائياً تحليلياً وروائز علمية كشفت عن ميْل بعضهم في جملة من المواقف الإنسانية إلى تفضيل ألوان معيّنة، كما أكدت الدّراسة أن طغيان استعمال ألوان معيّنة ما هو في الحقيقة إلا ظاهرة فنية عاطفيّة أحسنَ التميمي توظيفها.

Tracing the Pathways: Exploring the Journey of Women Primary School Head Teacher Incharge Teacher

Through a life history approach, this study explores the experiences of two Pakistani women educational leaders, one becoming a primary school head teacher and the other primary school in-charge teacher in two different school systems. At an international level, there is an increasing awareness of gender issues in education, particularly in the area of educational leadership and management, where women are under-represented. While efforts are being taken to increase the presence of women in leadership, their leadership experiences remain largely invisible and ignored. Findings of the study show that gender has shaped these women educational leaders' personal and professional lives. Parents, especially fathers, play a dominant role in these women's gender identity construction and decisions regarding their entry into educational leadership and their perceptions of themselves as leaders. Although education was valued by their parents, socio-cultural norms and gender beliefs led to their fathers' arranging their daughters' early marriages, thereby limiting their eventual career choices. Their mothers also conveyed powerful but contradictory messages to these women, both supporting their education and preparing them for domesticity. Their mother's subordinate role in the family also led the participants to believe that being a woman means to sacrifice or compromise. School-gendered spaces have facilitated the development of leadership skills and access to female role models but raise the question of limiting their career opportunities. Within the marital family, financial issues, access to female mentors, supportive husbands, access to education as well as their own will have also played important roles in the women's experiences becoming leaders. Their life histories depict that despite all the challenges, these women leaders have experienced in their journey to leadership, they are able to draw on their diverse gender experiences, which include the values of caring, nurturing and having sound organizational skills to provide effective leadership. This study, therefore, calls for the need to include women's voice in leadership to the further knowledge base in the area and to challenge current gender structures in order to pave the way for more women into the field of educational leadership.