A058952 Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order.

12, 13, 112, 113, 122, 133, 1112, 1113, 1123, 1132, 1213, 1222, 1232, 1233, 1312, 1322, 1323, 1333, 10123, 10132, 10222, 10223, 10233, 10322, 10332, 10333, 11012, 11013, 11102, 11103, 11122, 11133, 11203, 11222, 11302, 11333, 12013, 12022, 12032, 12123, 12203

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

Table of n, a(n) for n=1..41.

Crossrefs

Cf. A058948.

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.

Sequence in context: A041304 A085546 A041306 * A058950 A064003 A135123

Adjacent sequences: A058949 A058950 A058951 * A058953 A058954 A058955

Keyword

nonn,easy,nice

Author

N. J. A. Sloane, Jan 13 2001

Extensions

Green and Taylor's table extends through degree 5.

a(10)-a(41) from Nathaniel Johnston, May 09 2011

Status

approved