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You searched for subject:(Self orthogonal codes). Showing records 1 – 3 of 3 total matches.

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University of Manitoba

1. Nasr Esfahani, Navid. The relationship between (16,6,3)-balanced incomplete block designs and (25,12) self-orthogonal codes.

Degree: Computer Science, 2014, University of Manitoba

Balanced Incomplete Block Designs and Binary Linear Codes are two combinatorial designs. Due to the vast application of codes in communication the field of coding theory progressed more rapidly than many other fields of combinatorial designs. On the other hand, Block Designs are applicable in statistics and designing experiments in different fields, such as biology, medicine, and agriculture. Finding the relationship between instances of these two designs can be useful in constructing instances of one from the other. Applying the properties of codes to corresponding instances of Balanced Incomplete Block Designs has been used previously to show the non-existence of some designs. In this research the relationship between (16,6,3)-designs and (25,12) codes was determined. Advisors/Committee Members: van Rees, John (Computer Science) (supervisor), Bate, John (Computer Science) Li, Ben (Computer Science) Kinsner, Witold (Electrical and Computer Engineering) (examiningcommittee).

Subjects/Keywords: Balanced incomplete block designs; Self-orthogonal codes

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Nasr Esfahani, N. (2014). The relationship between (16,6,3)-balanced incomplete block designs and (25,12) self-orthogonal codes. (Masters Thesis). University of Manitoba. Retrieved from http://hdl.handle.net/1993/23843

Chicago Manual of Style (16th Edition):

Nasr Esfahani, Navid. “The relationship between (16,6,3)-balanced incomplete block designs and (25,12) self-orthogonal codes.” 2014. Masters Thesis, University of Manitoba. Accessed July 10, 2020. http://hdl.handle.net/1993/23843.

MLA Handbook (7th Edition):

Nasr Esfahani, Navid. “The relationship between (16,6,3)-balanced incomplete block designs and (25,12) self-orthogonal codes.” 2014. Web. 10 Jul 2020.

Vancouver:

Nasr Esfahani N. The relationship between (16,6,3)-balanced incomplete block designs and (25,12) self-orthogonal codes. [Internet] [Masters thesis]. University of Manitoba; 2014. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/1993/23843.

Council of Science Editors:

Nasr Esfahani N. The relationship between (16,6,3)-balanced incomplete block designs and (25,12) self-orthogonal codes. [Masters Thesis]. University of Manitoba; 2014. Available from: http://hdl.handle.net/1993/23843


Texas A&M University

2. Sarvepalli, Pradeep Kiran. Quantum stabilizer codes and beyond.

Degree: 2008, Texas A&M University

The importance of quantum error correction in paving the way to build a practical quantum computer is no longer in doubt. Despite the large body of literature in quantum coding theory, many important questions, especially those centering on the issue of "good codes" are unresolved. In this dissertation the dominant underlying theme is that of constructing good quantum codes. It approaches this problem from three rather different but not exclusive strategies. Broadly, its contribution to the theory of quantum error correction is threefold. Firstly, it extends the framework of an important class of quantum codes - nonbinary stabilizer codes. It clarifies the connections of stabilizer codes to classical codes over quadratic extension fields, provides many new constructions of quantum codes, and develops further the theory of optimal quantum codes and punctured quantum codes. In particular it provides many explicit constructions of stabilizer codes, most notably it simplifies the criteria by which quantum BCH codes can be constructed from classical codes. Secondly, it contributes to the theory of operator quantum error correcting codes also called as subsystem codes. These codes are expected to have efficient error recovery schemes than stabilizer codes. Prior to our work however, systematic methods to construct these codes were few and it was not clear how to fairly compare them with other classes of quantum codes. This dissertation develops a framework for study and analysis of subsystem codes using character theoretic methods. In particular, this work established a close link between subsystem codes and classical codes and it became clear that the subsystem codes can be constructed from arbitrary classical codes. Thirdly, it seeks to exploit the knowledge of noise to design efficient quantum codes and considers more realistic channels than the commonly studied depolarizing channel. It gives systematic constructions of asymmetric quantum stabilizer codes that exploit the asymmetry of errors in certain quantum channels. This approach is based on a Calderbank- Shor-Steane construction that combines BCH and finite geometry LDPC codes. Advisors/Committee Members: Klappenecker, Andreas.

Subjects/Keywords: finite geometry codes; Reed-Muller codes; Clifford codes; encoding quantum codes; bounds on quantum codes; subsystem codes; quantum codes; LDPC codes; nonbinary codes; stabilizer codes; asymmetric codes; dual codes; MDS codes; self-orthogonal codes; operator quantum error correction; BCH codes

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Sarvepalli, P. K. (2008). Quantum stabilizer codes and beyond. (Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/86011

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Sarvepalli, Pradeep Kiran. “Quantum stabilizer codes and beyond.” 2008. Thesis, Texas A&M University. Accessed July 10, 2020. http://hdl.handle.net/1969.1/86011.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Sarvepalli, Pradeep Kiran. “Quantum stabilizer codes and beyond.” 2008. Web. 10 Jul 2020.

Vancouver:

Sarvepalli PK. Quantum stabilizer codes and beyond. [Internet] [Thesis]. Texas A&M University; 2008. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/1969.1/86011.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Sarvepalli PK. Quantum stabilizer codes and beyond. [Thesis]. Texas A&M University; 2008. Available from: http://hdl.handle.net/1969.1/86011

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

3. Γεωργίου, Στέλιος. Συμβολή στη θεωρία σχεδιασμών και κωδίκων.

Degree: 2003, National Technical University of Athens (NTUA); Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ)

Subjects/Keywords: Πίνακες Hadamard; Πίνακες στάθμισης; Ορθογώνιοι σχεδιασμοί; Κατευθυνόμενες ακολουθίες; Γενικευμένοι ορθογώνιοι σχεδιασμοί; Αυτο-δύϊκοι κώδικες; Κώδικες τύπου ΙΙ; Ακραίοι κώδικες; Hadamard matrices; Weighing matrices; Orthogonal designs; Directed sequences; Generalized orthogonal designs; Self-dual codes; Type II codes; Extremal codes

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Γεωργίου, . . (2003). Συμβολή στη θεωρία σχεδιασμών και κωδίκων. (Thesis). National Technical University of Athens (NTUA); Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ). Retrieved from http://hdl.handle.net/10442/hedi/16648

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Γεωργίου, Στέλιος. “Συμβολή στη θεωρία σχεδιασμών και κωδίκων.” 2003. Thesis, National Technical University of Athens (NTUA); Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ). Accessed July 10, 2020. http://hdl.handle.net/10442/hedi/16648.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Γεωργίου, Στέλιος. “Συμβολή στη θεωρία σχεδιασμών και κωδίκων.” 2003. Web. 10 Jul 2020.

Vancouver:

Γεωργίου . Συμβολή στη θεωρία σχεδιασμών και κωδίκων. [Internet] [Thesis]. National Technical University of Athens (NTUA); Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ); 2003. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/10442/hedi/16648.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Γεωργίου . Συμβολή στη θεωρία σχεδιασμών και κωδίκων. [Thesis]. National Technical University of Athens (NTUA); Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ); 2003. Available from: http://hdl.handle.net/10442/hedi/16648

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.