|
Search: id:A058948
|
|
|
| A058948 |
|
Coefficients of monic irreducible polynomials over GF(4) listed in lexicographic order. |
|
+0
11
|
|
| 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; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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.
Sequence in context: A138582 A066309 A107860 this_sequence A108584 A098605 A126802
Adjacent sequences: A058945 A058946 A058947 this_sequence A058949 A058950 A058951
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Jan 13 2001
|
|
EXTENSIONS
|
Green and Taylor's table extends through degree 5.
More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jun 03 2002
|
|
|
Search completed in 0.002 seconds
|
