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Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order.
12

%I #6 Mar 31 2012 13:22:26

%S 12,13,112,113,122,133,1112,1113,1123,1132,1213,1222,1232,1233,1312,

%T 1322,1323,1333,10123,10132,10222,10223,10233,10322,10332,10333,11012,

%U 11013,11102,11103,11122,11133,11203,11222,11302,11333,12013,12022,12032,12123,12203

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

%C The elements of GF(4) are labeled {0,1,2,3}.

%D 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.

%Y Cf. A058948.

%Y 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.

%K nonn,easy,nice

%O 1,1

%A _N. J. A. Sloane_, Jan 13 2001

%E Green and Taylor's table extends through degree 5.

%E a(10)-a(41) from _Nathaniel Johnston_, May 09 2011