A115603: Gaussian normal basis for n=162

[zak seidov]

%I A115603
%S A115603 1,10,14,30
%N A115603 My teacher gave this as a "riddle".
%K A115603 nonn,unkn
%O A115603 0,2
%A A115603 Len Burman (lburman6(AT)comcast.net), Mar
13 2006

Possible answer is
Gaussian normal basis for n=162:

1 10 14 30 58 61 73 78 86 89

Here's Rf:

http://www.jjj.de/mathdata/gauss-normalbasis.txt

#
# List of types of Gaussian normal basis (NB) up to
n=1032.
# The smallest 10 types are listed.
# For n divisible by 8 no Gaussian NB exists.
# Bases of type 1 and 2 are optimal normal bases
(ONB).
#

# A line of the form
#   n:  t1 t2 t3 t4 ...t10
# says that there is a type-t Gaussian NB for GF(2^n)
#   for t=tj  (j \in 1..10)
#.
# Generated by Joerg Arndt, 2003-December-11
#
<................>
162:   1 10 14 30 58 61 73 78 86 89
<................>

Hope it's not joke of Len's teacher.

Zak


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