The well-known concept of a polynomial function (mod m) has been generalized to polynomial functions from Z, to Z m and a number of results have been obtained in (Chen, 1995). In the present paper, we further define the concept of polynomial functions from Z,, x Z.2 x ... x Z.r to Z,, and generalize
Planar Functions from Zn to Zn
โ Scribed by Ka Hin Leung; Siu Lun Ma; Victor Tan
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 103 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
In this paper, we show that there are no planar functions from 3pq to 3pq where p and q are distinct primes larger than 3. As a result, there are only two undecided cases for planar functions from n to n if n is not a prime and n โค 50 000.
๐ SIMILAR VOLUMES
We define the concept of a polynomial function from Z. to Z,., which is a generalization of the well-known polynomial function from Z. to Z.. We obtain a necessary and sufficient condition on n and m for all functions from Z. to Z., to be polynomial functions. Then we present canonical representatio
A novel unsymmetrical tetradentate azine, 2-acetylpyridinesalicylaldazine (Haps), was prepared by condensing salicylhydrazone with 2-acetylpyridine, and was characterized by elemental analysis and its i.r. spectrum. This ligand reacted with Mn, Co, Ni, Cu and Zn acetates to yield deprotonated M(aps)
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