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A058952
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Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order.
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12
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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
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OFFSET
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1,1
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COMMENTS
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The elements of GF(4) are labeled {0,1,2,3}.
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REFERENCES
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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.
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LINKS
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Table of n, a(n) for n=1..41.
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CROSSREFS
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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
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane, Jan 13 2001
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EXTENSIONS
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Green and Taylor's table extends through degree 5.
a(10)-a(41) from Nathaniel Johnston, May 09 2011
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STATUS
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approved
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