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

Author

N. J. A. Sloane, Jan 13 2001

Keywords

• nonn
• easy
• nice

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.

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.

Extensions

Green and Taylor's table extends through degree 5.

More terms from David Wasserman, Jun 03 2002