Codes over group rings / (Record no. 56596)
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000 -LEADER | |
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fixed length control field | 01823cam a2200337 a 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | EG-GiCUC |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20250223031513.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 160523s2015 ua f m 000 0 eng d |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | EG-GiCUC |
Language of cataloging | eng |
Transcribing agency | EG-GiCUC |
041 0# - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
049 ## - LOCAL HOLDINGS (OCLC) | |
Holding library | Deposite |
097 ## - Thesis Degree | |
Thesis Level | M.Sc |
099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
Classification number | Cai01.12.17.M.Sc.2015.No.C |
100 0# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Noha Abdelghany |
245 10 - TITLE STATEMENT | |
Title | Codes over group rings / |
Statement of responsibility, etc. | Noha Abdelghany ; Supervised Nefertiti Megahed , Tarek Sayed Ahmed |
246 15 - VARYING FORM OF TITLE | |
Title proper/short title | الأكواد على الحلقات الزمرية |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | Cairo : |
Name of publisher, distributor, etc. | Noha Abdelghany , |
Date of publication, distribution, etc. | 2015 |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 95 P. ; |
Dimensions | 25cm |
502 ## - DISSERTATION NOTE | |
Dissertation note | Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics |
520 ## - SUMMARY, ETC. | |
Summary, etc. | In this thesis, we study the notion of codes from group ring encodings due to hurley in [12]. This notion generalizes the classical cyclic codes over a {uFB01}nite {uFB01}eld which have been proven by F. MacWilliams to be the same as the ideals in a polynomial ring over the same {uFB01}eld. A necessary and su{uFB03}cient condition for a group ring to be code - checkable is given, when the base ring is {uFB01}nite commutative semisimple ring, as a generalization of the characterization given by Jitman in the case of the {uFB01}nite {uFB01}elds. We also study the notion of group codes over {uFB01}nite {uFB01}elds. We show that the major characterization of group codes given by Bernal et al, is still valid when the alphabet is a ring with identity |
530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
Additional physical form available note | Issued also as CD |
653 #4 - INDEX TERM--UNCONTROLLED | |
Uncontrolled term | Group codes |
653 #4 - INDEX TERM--UNCONTROLLED | |
Uncontrolled term | Group rings |
653 #4 - INDEX TERM--UNCONTROLLED | |
Uncontrolled term | Semisimple rings |
700 0# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Nefertiti Megahed , |
Relator term | |
700 0# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Tarek Sayed Ahmed , |
Relator term | |
856 ## - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="http://172.23.153.220/th.pdf">http://172.23.153.220/th.pdf</a> |
905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
Cataloger | Nazla |
Reviser | Revisor |
905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
Cataloger | Samia |
Reviser | Cataloger |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Koha item type | Thesis |
Source of classification or shelving scheme | Not for loan | Home library | Current library | Date acquired | Full call number | Barcode | Date last seen | Koha item type | Copy number |
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Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | قاعة الرسائل الجامعية - الدور الاول | 11.02.2024 | Cai01.12.17.M.Sc.2015.No.C | 01010110068967000 | 22.09.2023 | Thesis | ||
Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | مخـــزن الرســائل الجـــامعية - البدروم | 11.02.2024 | Cai01.12.17.M.Sc.2015.No.C | 01020110068967000 | 22.09.2023 | CD - Rom | 68967.CD |