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LINEAR CODE THROUGH POLYNOMIAL MODULO Z | ||
| Journal of University of Anbar for Pure Science | ||
| Article 25, Volume 1, Issue 3, 2007, Pages 117-121 PDF (370.09 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2007.15603 | ||
| Author | ||
| MAKARIM ABDULWAHIDE* | ||
| DEPT. OF INFORMATION SYSTEMS -COLLEGE OF COMPUTERS -UNIVESITY OF AL-ANBAR | ||
| Abstract | ||
| A polynomial p(x)= a + a x + …+ a x is said to be a permutation polynomial over a finite ring R If P permute the elements of R . where R is the ring ( Z , + , ) . It is known that mutually orthogonal Latin of order n,where n is the element in Z generate A [ ] – error correcting code with n code words . And we found no a pair of polynomial defining a pair of orthogonal Latin square modulo Z where n = 2 generate a linear code. | ||
| Keywords | ||
| linear code; polynomial; modulo z n | ||
| References | ||
|
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[7] J.Denes and A.D. Keedwell , Latin square and their applications , A cademic Press , New York and London , ( 1974 ) .
[8] John B. Fraleigh , A First Course in Abstract Algebra , Addison – Wwsley , Massachusetts , (1997) . | ||
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