Kerdockovy kódy a okolí
| Thesis title in Czech: | Kerdockovy kódy a okolí |
|---|---|
| Thesis title in English: | Kerdock codes and around |
| Key words: | Kerdockův kód, Kerdockova množina, t-design, resilientní funkce |
| English key words: | Kerdock code, Kerdock set, t-design, resilient function |
| Academic year of topic announcement: | 2009/2010 |
| Thesis type: | diploma thesis |
| Thesis language: | angličtina |
| Department: | Department of Algebra (32-KA) |
| Supervisor: | prof. RNDr. Aleš Drápal, CSc., DSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 03.11.2009 |
| Date of assignment: | 03.11.2009 |
| Date and time of defence: | 20.09.2012 00:00 |
| Date of electronic submission: | 03.08.2012 |
| Date of submission of printed version: | 03.08.2012 |
| Date of proceeded defence: | 20.09.2012 |
| Opponents: | doc. RNDr. Jan Šťovíček, Ph.D. |
| Guidelines |
| Cílem práce je podat ucelený popis Kerdockových kódů z různých hledisek (komutativní algebra, teorie designů, klasická teorie kódů), zkoumat jejich vlastnosti a zobecnění, a věnovat se jejich aplikacím, zejména v kryptografii. |
| References |
| Calderbank A. R., Cameron P. J., Kantor W. M., Seidel J. J.: Z4 - Kerdock Codes, Orthogonal Spreads, and Extremal Euclidean Line-Sets, Proceedings of London Mathematical Society 75 (1997) 436-480.
Kantor W. M.: Codes, Quadratic Forms and Finite Geometries, Proceedings of Symposia in Applied Mathematics Kantor W. M.: Spreads, translation planes and Kerdock sets I, SIAM J. Alg. Disc. Math. 3 (1982) 151-165. Kantor W. M.: Spreads, translation planes and Kerdock sets II, SIAM J. Alg. Disc. Math. 3 (1982) 308-318. Calderbank A. R., Gilbert A. C., Strauss M. J.: List Decoding of Noisy Reed-Muller-Like Codes, arXiv:cs/0607098v2 cs.DS, (2006). |