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| fixed length control field |
01504nam a22002657a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
130926b2012 ph ||||| |||| 00| 0 eng d |
| 022 ## - INTERNATIONAL STANDARD SERIAL NUMBER |
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| International Standard Serial Number |
1908-1995 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
21 |
| Classification number |
050/P17 |
| 085 ## - SYNTHESIZED CLASSIFICATION NUMBER COMPONENTS |
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| Number where instructions are found-single number or beginning number of span |
AI 050/P17 |
| 089 ## - |
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21 |
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AI 050/P17 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
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| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Palacio, Jane D. |
| 245 ## - TITLE STATEMENT |
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| Title |
On the minimum hamming distance of the pm-ary image of linear block codes over the finite chain ring Fpm + uFpm + ... + ur-1Fpm, ur = 0./ |
| 246 ## - VARYING FORM OF TITLE |
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| Title proper/short title |
Philippine Computing Journal |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
vol. 7, 1 table, refs. |
| 362 ## - DATES OF PUBLICATION AND/OR SEQUENTIAL DESIGNATION |
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| Dates of publication and/or sequential designation |
vol. 7, no. 2 (December, 2012):43-46. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
Let Fpm denote the finite field with pm elements where p is a prime. In this paper, linear block codes over Fpm are considered as images of linear block codes over the finite chain ring R(pm, r) = Fpm + uFpm + ... +ur-1Fpm, where ur + 0 and m, r E N. An Fpm linear map is defined from R (pm, r)n to Frnpm. Bounds on the minimum Hamming distance of the resultant codes are derived. These bounds largely depend on the minimum Hamming distance of the linear block code, the average value of the homogeneous weight on the residue field Fpm and the nilpotency index of the ring. A code meeting these bounds whose image is the extended binary Hamming code of order 3 is also given. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
FINITE CHAIN RING. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
PM-ARY IMAGE. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
DISTANCE BOUNDS. |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Sison, Virgilio P. |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Lampos, John Mark T. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Koha item type |
Periodicals Journal Bound |
