A058948 Coefficients of monic irreducible polynomials over GF(4) listed in lexicographic order.

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

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. A001037, A011260, A058943-A058947.

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: A244510 A107860 A244156 * A108584 A098605 A126802

Adjacent sequences: A058945 A058946 A058947 * A058949 A058950 A058951

Keyword

nonn,easy,nice

Author

N. J. A. Sloane, Jan 13 2001

Extensions

Green and Taylor's table extends through degree 5.

More terms from David Wasserman, Jun 03 2002

Status

approved