Dr Graham Norton
Honorary Associate Professor
Honorary Associate Professor
School of Mathematics and Physics
+61 7 336 53129
Personal page
Publications
Journal Articles
Norton, Graham H. (2019). On the annihilator ideal of an inverse form: addendum. Applicable Algebra in Engineering Communication and Computing, 30 (6), 491-507. doi: 10.1007/s00200-019-00390-2
Norton, Graham H. (2017). On the annihilator ideal of an inverse form. Applicable Algebra in Engineering, Communications and Computing, 28 (1), 31-78. doi: 10.1007/s00200-016-0295-6
Norton, Graham H. (2015). On sequences, rational functions and decomposition. Applicable Algebra in Engineering, Communications and Computing, 26 (5), 427-463. doi: 10.1007/s00200-015-0256-5
Norton, Graham H. (2010). Minimal polynomial algorithms for finite sequences. IEEE Transactions on Information Theory, 56 (9) 5550377, 4643-4645. doi: 10.1109/TIT.2010.2054150
Norton, G. H. and Salagean, A. (2003). Cyclic codes and minimal strong Gröbner bases over a principal ideal ring. Finite Fields and Their Applications, 9 (2), 237-249. doi: 10.1016/S1071-5797(03)00003-0
Norton, G. H. and Salagean, A. (2002). Groebner Bases and Cyclic Codes Over a Finite Chain Ring. Bulletin of the Australian Mathematical Society, 65, 147-154.
Norton, G. H. and Salagean, A. (2002). Strong Groebner Bases and Products of Coefficient Rings. Bulletin of the Australian Mathematical Society, 65, 147-154.
Blackmore, T and Norton, GH (2002). Determining when the absolute state complexity of a Hermitian code achieves its DLP bound. Siam Journal On Discrete Mathematics, 15 (1), 14-40. doi: 10.1137/S0895480100376435
Blackmore, T. and Norton, G. H. (2002). Lower Bounds on the State Complexity of Geometric Goppa Codes. Designs Codes and Cryptography, 25 (1), 95-115. doi: 10.1023/A:1012512718264
Norton, G. H. and Salagean, A (2002). Grbner bases and products of coefficient rings. Australian Mathematical Society. Bulletin, 65 (1), 147-154.
Norton, Graham H. and Sǎlǎgean, Ana (2002). Gröbner bases and products of coefficient rings. Bulletin of the Australian Mathematical Society, 65 (1), 145-152. doi: 10.1017/s0004972700020165
Norton, G. H. and Salagean, A. (2001). Strong Grobner bases for polynomials over a principal ideal ring. Bulletin of The Australian Mathematical Society, 64 (3), 505-528. doi: 10.1017/s0004972700019973
Blackmore, Tim and Norton, Graham H. (2001). Matrix-product codes over Fq. Applicable Algebra In Engineering Communication And Computing, 12 (6), 477-500. doi: 10.1007/PL00004226
Blackmore, T. and Norton, G. H. (2001). On a family of abelian codes and their state complexities. IEEE Transactions on Information Theory, 47 (1), 355-361. doi: 10.1109/18.904535