An expansion for the coordinates of the trace function over Galois Rings

Vijay Kumar, P. ; Helleseth, Tor (1997) An expansion for the coordinates of the trace function over Galois Rings Applicable Algebra in Engineering, Communication and Computing, 8 (5). pp. 353-361. ISSN 0938-1279

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Official URL: https://link.springer.com/article/10.1007/s0020000...

Related URL: http://dx.doi.org/10.1007/s002000050072

Abstract

The base-2 expansion of the trace sequence over Galois rings of characteristic 2k and size 2km gives rise to k binary coordinate sequences of increasing linear span. An expression for these sequences in terms of elementary symmetric functions is provided. As a byproduct, bounds on the linear span of the coordinate sequences are easily derived.

Item Type:Article
Source:Copyright of this article belongs to Springer Verlag.
Keywords:Galois Rings; Trace Function; Coordinate Sequences; Linear Span; Linear Complexity
ID Code:110312
Deposited On:31 Jan 2018 10:43
Last Modified:31 Jan 2018 10:43

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