Balanced Symmetric Functions over $GF(p)$

Details Balanced Symmetric Functions over $GF(p)$ Balanced Symmetric Functions over $GF(p)$

2006-08-15

arxiv.org/abs/math/0608369v1

Mathematics

Combinatorics

21 pages

Scientific paper

Under mild conditions on $n,p$, we give a lower bound on the number of $n$-variable balanced symmetric polynomials over finite fields $GF(p)$, where $p$ is a prime number. The existence of nonlinear balanced symmetric polynomials is an immediate corollary of this bound. Furthermore, we conjecture that $X(2^t,2^{t+1}l-1)$ are the only nonlinear balanced elementary symmetric polynomials over GF(2), where $X(d,n)=\sum_{i_1

Affiliated with

Also associated with

No associations

Rating

Balanced Symmetric Functions over $GF(p)$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Balanced Symmetric Functions over $GF(p)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Balanced Symmetric Functions over $GF(p)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-99909