How to select all polynomials which have degree greater than a give number out of a list of polynomials!

• To: mathgroup at smc.vnet.net
• Subject: [mg35498] How to select all polynomials which have degree greater than a give number out of a list of polynomials!
• From: "Chekad Sarami" <csarami at mtu.edu>
• Date: Tue, 16 Jul 2002 04:50:10 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Sorry,,I was not sure if the last one went through or not!!:)

Hi,

I want to choose from the following list of polynomials ( list s ),

a: =FactorList[Factor[x^63-1, Modulus\[Rule]2]]
t :=Table[a[[i,1]],{i,Length[a]}]
s :=Union[Flatten[
Table[

PolynomialMod[(x+1)*
t[[3]]^x3 t[[ 4]]^x4   t[[5]]^x5 t[[ 6]]^x6  t[[7]]^x7  t[[ 8]]^
x8  t[[9]]^x9  t[[ 10]]^x10 t[[11]]^x11  t[[ 12]]^x12 t[[13]]^
x13  t[[ 14]]^x14,2] ,{x3,0,1}, {x4 ,0,1},{x5,0,1}, {x6 ,0,
1},{x7,0,1}, {x8 ,0,1},{x9,0,1}, {x10 ,0,1},{x11,0,1}, {x12 ,0,
1},{x13,0,1}, {x14 ,0,1}]]
]
polynomials of degree greater than 31.

I wrote these these 2 functions but none of these work.

1. Using Recursion on list

v={};w=1;
If[Exponent[s[[w]],x]>31,Append[v, {}],Append[v, s[[w]]]];
v

2. Using While

v={};w=1;
While[Exponent[s[[w]],x]>31,v=Append[v, s[[w]]]; i++ ];
v

Does anybody have an idea to do this.

Thanks a lot for your help

Best regards

Department of Mathematical Sciences

Michigan Technological University

Houghton, MI 49931

Phone:    906-487-1990

Office:    Widmair Bld. CRI

email:   csarami at mtu.edu

Fax:    906-487-3313

****************************************************************

Sometimes out light goes out but is blown into flame by

another human being. Each of us owes our deepest thanks

to those who have rekindled this light,

--- Albert Schweitzer ---

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```

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