|
|
A058948
|
|
Coefficients of monic irreducible polynomials over GF(4) listed in lexicographic order.
|
|
12
|
|
|
10, 11, 12, 13, 112, 113, 121, 122, 131, 133, 1002, 1003, 1011, 1021, 1031, 1101, 1112, 1113, 1123, 1132, 1201, 1213, 1222, 1232, 1233, 1301, 1312, 1322, 1323, 1333, 10121, 10123, 10131, 10132, 10222, 10223, 10231, 10233, 10321, 10322, 10332
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
The elements of GF(4) are labeled {0,1,2,3}.
|
|
REFERENCES
|
D. H. Green and I. S. Taylor, Irreducible polynomials over composite Galois fields and their applications in coding techniques, Proc. IEE, 121 (1974), 935-939.
|
|
LINKS
|
|
|
CROSSREFS
|
Irreducible over GF(2), GF(3), GF(4), GF(5), GF(7): A058943, A058944, A058948, A058945, A058946. Primitive irreducible over GF(2), GF(3), GF(4), GF(5), GF(7): A058947, A058949, A058952, A058950, A058951.
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
|
|
EXTENSIONS
|
Green and Taylor's table extends through degree 5.
|
|
STATUS
|
approved
|
|
|
|