Research Profile

Patrick Fitzpatrick

BIOGRAPHY

BSc Surrey 1973. PGCE Sussex 1975. PhD Australian National 1980. Lecturer in Mathematics UCC 1979, Senior Lecturer 1994, Associate Professor 2000.

Research Interests

My research is in algebraic coding theory. Error correcting codes are used to remove the effects of noise in communications channels such as satellite links, mobile telephones, and compact discs.

Publications

Book Chapters

 YearPublication
(1999)'FPGA Design Trade-Offs for Solving the Key Equation in Reed-Solomon Decoding'
Popovici E., Fitzpatrick P., Murphy C. C.; (1999) 'FPGA Design Trade-Offs for Solving the Key Equation in Reed-Solomon Decoding' In: * (eds). Lecture Notes in Computer Science 1673. [Details]
(1997)'Methods of trace Metals analysis'
O'Halloran, J. Walsh, A.R. and Fitzpatrick, P.J.; (1997) 'Methods of trace Metals analysis' In: Humana Press, Totowa NJ (eds). Sheehan, D, Bioremediation. [Details]

Peer Reviewed Journals

 YearPublication
(2008)'Grobner bases and combinatorics for binary codes'
Borges-Quintana, M,Borges-Trenard, MA,Fitzpatrick, P,Martinez-Moro, E; (2008) 'Grobner bases and combinatorics for binary codes' [DOI] [Details]
(2008)'Grobner Bases and Combinatorics For Binary Codes'
Borges-Quintana, M, Borges-Trenard, MA, Fitzpatrick, P, Martinez-Moro, E; (2008) 'Grobner Bases and Combinatorics For Binary Codes' [DOI] [Details]
(2007)'Grobner Basis Approach to List Decoding of Algebraic Geometry Codes'
O'Keeffe, H, Fitzpatrick, P; (2007) 'Grobner Basis Approach to List Decoding of Algebraic Geometry Codes' [DOI] [Details]
(2007)'Grobner basis approach to list decoding of algebraic geometry codes'
O'Keeffe, H,Fitzpatrick, P; (2007) 'Grobner basis approach to list decoding of algebraic geometry codes' [DOI] [Details]
(2006)'Bounds on codes derived by counting components in Varshamov graphs'
O'Brien, KM,Fitzpatrick, P; (2006) 'Bounds on codes derived by counting components in Varshamov graphs' [DOI] [Details]
(2003)'Algorithm and architecture for a Galois field multiplicative arithmetic processor'
Popovici, EM,Fitzpatrick, P; (2003) 'Algorithm and architecture for a Galois field multiplicative arithmetic processor' [DOI] [Details]
(2002)'Grobner basis solutions of constrained interpolation problems'
O'Keeffe, H,Fitzpatrick, P; (2002) 'Grobner basis solutions of constrained interpolation problems' [DOI] [Details]
(2002)'Direct division in factor rings'
Fitzpatrick, P,Wolf, C; (2002) 'Direct division in factor rings' [DOI] [Details]
(2002)'Hamming metric decoding of alternant codes over Galois rings'
Byrne, E,Fitzpatrick, P; (2002) 'Hamming metric decoding of alternant codes over Galois rings' [DOI] [Details]
(2001)'Grobner bases over Galois rings with an application to decoding alternant codes'
Byrne, E,Fitzpatrick, P; (2001) 'Grobner bases over Galois rings with an application to decoding alternant codes' [Details]
(1998)'Fault tolerant Faddeeva algorithm'
Connolly, MP,Fitzpatrick, P; (1998) 'Fault tolerant Faddeeva algorithm' [Details]
(1998)'Division algorithm over GF(2(m))'
Popovici, EM,Fitzpatrick, P; (1998) 'Division algorithm over GF(2(m))' [Details]
(1997)'Solving a multivariable congruence by change of term order'
Fitzpatrick, P; (1997) 'Solving a multivariable congruence by change of term order' [Details]
(1997)'Extending backward error assertions to tolerance of large errors in floating point computations'
Fitzpatrick, P; (1997) 'Extending backward error assertions to tolerance of large errors in floating point computations' [Details]
(1997)'Assessment of a glutathione S-transferase and related proteins in the gill and digestive gland of Mytilus edulis (L), as potential organic pollution biomarkers'
Fitzpatrick, PJ,OHalloran, J,Sheehan, D,Walsh, AR; (1997) 'Assessment of a glutathione S-transferase and related proteins in the gill and digestive gland of Mytilus edulis (L), as potential organic pollution biomarkers' [Details]
(1996)'On the scalar rational interpolation problem'
Fitzpatrick, P; (1996) 'On the scalar rational interpolation problem' [Details]
(1996)'Fault-tolerant QRD recursive least squares'
Connolly, MP,Fitzpatrick, P; (1996) 'Fault-tolerant QRD recursive least squares' [Details]
(1995)'THE BERLEKAMP-MASSEY ALGORITHM AND LINEAR RECURRING SEQUENCES OVER A FACTORIAL DOMAIN'
FITZPATRICK, P,NORTON, GH; (1995) 'THE BERLEKAMP-MASSEY ALGORITHM AND LINEAR RECURRING SEQUENCES OVER A FACTORIAL DOMAIN' [Details]
(1995)'CHARACTERIZATION OF A GLUTATHIONE-S-TRANSFERASE AND A RELATED GLUTATHIONE-BINDING PROTEIN FROM GILL OF THE BLUE MUSSEL, MYTILUS-EDULIS'
FITZPATRICK, PJ,KRAG, TOB,HOJRUP, P,SHEEHAN, D; (1995) 'CHARACTERIZATION OF A GLUTATHIONE-S-TRANSFERASE AND A RELATED GLUTATHIONE-BINDING PROTEIN FROM GILL OF THE BLUE MUSSEL, MYTILUS-EDULIS' [Details]
(1995)'ON THE KEY EQUATION'
FITZPATRICK, P; (1995) 'ON THE KEY EQUATION' [Details]
(1994)'ON FAULT-TOLERANT MATRIX DECOMPOSITION'
FITZPATRICK, P; (1994) 'ON FAULT-TOLERANT MATRIX DECOMPOSITION' [Details]
(1994)'NEW TIME-DOMAIN ERRORS AND ERASURES DECODING ALGORITHM FOR BCH CODES'
FITZPATRICK, P; (1994) 'NEW TIME-DOMAIN ERRORS AND ERASURES DECODING ALGORITHM FOR BCH CODES' [Details]
(1993)'SEPARATION OF MULTIPLE FORMS OF GLUTATHIONE-S-TRANSFERASE FROM THE BLUE MUSSEL, MYTILUS-EDULIS'
FITZPATRICK, PJ,SHEEHAN, D; (1993) 'SEPARATION OF MULTIPLE FORMS OF GLUTATHIONE-S-TRANSFERASE FROM THE BLUE MUSSEL, MYTILUS-EDULIS' [Details]
(1992)'A GROBNER BASIS TECHNIQUE FOR PADE-APPROXIMATION'
FITZPATRICK, P,FLYNN, J; (1992) 'A GROBNER BASIS TECHNIQUE FOR PADE-APPROXIMATION' [Details]
(1991)'LINEAR RECURRING SEQUENCES AND THE PATH WEIGHT ENUMERATOR OF A CONVOLUTIONAL CODE'
FITZPATRICK, P,NORTON, GH; (1991) 'LINEAR RECURRING SEQUENCES AND THE PATH WEIGHT ENUMERATOR OF A CONVOLUTIONAL CODE' [Details]
(1989)'LINEAR RECURRENCE RELATIONS AND AN EXTENDED SUBRESULTANT ALGORITHM'
FITZPATRICK, P,NORTON, G; (1989) 'LINEAR RECURRENCE RELATIONS AND AN EXTENDED SUBRESULTANT ALGORITHM' [Details]
(1986)'GROUPS IN WHICH AN AUTOMORPHISM INVERTS PRECISELY HALF THE ELEMENTS'
FITZPATRICK, P; (1986) 'GROUPS IN WHICH AN AUTOMORPHISM INVERTS PRECISELY HALF THE ELEMENTS' [Details]
(1985)'ORDER CONJUGACY IN FINITE-GROUPS'
FITZPATRICK, P; (1985) 'ORDER CONJUGACY IN FINITE-GROUPS' [Details]
(1983)'VARIETIES OF NILPOTENT GROUPS OF CLASS 4 .2'
FITZPATRICK, P; (1983) 'VARIETIES OF NILPOTENT GROUPS OF CLASS 4 .2' [Details]
(1983)'VARIETIES OF NILPOTENT GROUPS OF CLASS 4 .3'
FITZPATRICK, P; (1983) 'VARIETIES OF NILPOTENT GROUPS OF CLASS 4 .3' [Details]
(1981)'EMBEDDING GROUP AMALGAMS'
FITZPATRICK, P,WIEGOLD, J; (1981) 'EMBEDDING GROUP AMALGAMS' [Details]

Conference Publications

 YearPublication
(2004)MIEL2004
Kerins T., Popovici E., Marnane W., Fitzpatrick P.; (2004) Fully Paramaterisable Galois Field Arithmetic Processor over GF(3m) suitable for Elliptic Curve Cryptography . In: IEEE eds. MIEL2004 Nis, Yugoslavia, , 16-MAY-04 - 19-MAY-04 , pp.*-* [Details]
(2004)MIEL2004
Murphy G., Popovici E.M., Bresnan R., Marnane W.P., Fitzpatrick P.; (2004) Design and implementation of a Parameterisable LDPC decoder IP core . In: * eds. MIEL2004 Nis, Yugoslavia, , 16-MAY-04 - 19-MAY-04 , pp.*-* [Details]
(2004)IEEE 24th International Conference on Microelectronics
Murphy G.; Popovici E.M.; Bresnan R.; Marnane W.P.; Fitzpatrick P.; (2004) Design and Implementation of a Parameterizable LDPC Decoder IP Core . In: * eds. IEEE 24th International Conference on Microelectronics Nis, Serbia and Montenegro, , 16-MAY-04 - 19-MAY-04 , pp.II-747-II-750 [Details]
(2003)Irish Signals and Systems Conference 2003
Singh, D.K.; Marnane, W. P.; Fitzpatrick, P.; (2003) Reconfigurability of Turbo Codes for Differentiatied QOS . In: Mahdi, A.E.; Hayes, M.J eds. Irish Signals and Systems Conference 2003 Limerick, Ireland, , 20-JUN-03 - 02-JUL-03 , pp.542-547 [Details]
(2002)In proceedings of the Irish Signals and Systems Conference
Wolf C., Fitzpatrick P., Foley S.N., Popovici E.; (2002) HFE in Java: Implementing Hidden Field Equations for Public Key Cryptography In proceedings of the Irish Signals and Systems Conference Cork, Ireland, , 01-JUN-02 - 30-DEC-99 [Details]
(2002)12th International Conference on Field Programmable Logic and Applications, FPL2002 in LNCS2438, Springer
Kerins, T.; Popovici, E.M.; Marnane, W. P.; Fitzpatrick, P.; (2002) Fully Parameterisable Elliptic Curve Cryptography Processor over GF(2^m) . In: M. Glesner, P. Zipf, M. Renovell eds. 12th International Conference on Field Programmable Logic and Applications, FPL2002 in LNCS2438, Springer Montpellier, France, , 02-SEP-02 - 04-SEP-02 , pp.750-759 [Details]
(1999)Field-Programmable Logic and Applications, 9th International Workshop
Popovici E., Fitzpatrick P., Murphy C. C.; (1999) FPGA Design Trade-Offs for Solving the Key Equation in Reed-Solomon Decoding . In: * eds. Field-Programmable Logic and Applications, 9th International Workshop Glasgow, Scotland, , 30-AUG-99 - 01-SEP-99 , pp.353-358 [Details]
(1999)Field Programable Logic
Popovici E.M, Fitzpatrick P., Murphy C.C.; (1999) FPGA design trade-offs for solving the key equation in Reed-Solomon decoding . In: * eds. Field Programable Logic Gasgow, Scotland, , 30-DEC-99 - 30-DEC-99 , pp.353-358 [Details]
(1999)IEE System on a chip Colloquium
Popovici,E.M. Fitzpatrick, P. Murphy, C.C.; (1999) Reed-Solomon decoders for the read-write channel . In: * eds. IEE System on a chip Colloquium UCD, Dublin, , 30-DEC-99 - 30-DEC-99 , pp.9/1-9/5 [Details]
(1999)Irish Signals and Systems Conference(ISSC)
Popovici E.M., Fitzpatrick P.; (1999) VLSI design for a generic Galois Field arithmetic processor . In: * eds. Irish Signals and Systems Conference(ISSC) UCD, Dublin, , 30-DEC-99 - 30-DEC-99 , pp.322-327 [Details]
(1999)IEEE International Microelectronics Conference (MIEL2002)
Popovici E.M., Fitzpatrick P.; (1999) Reed-Solomon Codecs for Optical Communications . In: * eds. IEEE International Microelectronics Conference (MIEL2002) Nis, Yugoslavia, , 30-DEC-99 - 30-DEC-99 , pp.613-616 [Details]
(1999)FPL2003
Kerins T., Popovici E.M., Marnane W., Fitzpatrick P.; (1999) Fully Parameterisable Elliptic Curve Cryptography Processor over GF(2m) . In: * eds. FPL2003 France, , 30-DEC-99 - 30-DEC-99 , pp.750-759 [Details]
(1998)IEE Systems on a chip Colloquium
Popovici E., Fitzpatrick P., Murphy C. C.; (1998) Reed-Solomon Decoders for the read-write channel . In: * eds. IEE Systems on a chip Colloquium University College Dublin, , 05-SEP-98 - 06-SEP-98 , pp.9/1-9/5 [Details]
(1992)Application Specific Array Processors
Fitzpatrick P., Murphy C. C.; (1992) Fault Tolerant Matrix Triangularisation and Solution of Linear Systems of Equations . In: * eds. Application Specific Array Processors Berkeley, California, USA, , 04-AUG-92 - 07-AUG-92 , pp.469-480 [Details]

Conference Contributions

 YearPublication
(1997)Proceedings. IEEE Int. Symp. On Information Theory 97, Ulm (June),
Fitzpatrick, P.; Jennings, S. M.; (1997) *. [N/A], Proceedings. IEEE Int. Symp. On Information Theory 97, Ulm (June), Comparison of Two Algorithms for Decoding BCH Codes [B5339] , 01-JAN-97 - 30-DEC-99
(1994)Proceedings. SPIE Advanced Signal Processing: Algorithms, Architectures, and Implementations V,
Fitzpatrick, P.; Connolly, M. P.; (1994) *. [N/A], Proceedings. SPIE Advanced Signal Processing: Algorithms, Architectures, and Implementations V, Fault Tolerant QR Decomposition for Adaptive Signal Processing [B5329] , 07-JAN-94 - 30-DEC-99
(1994)Codes and Cyphers,
Fitzpatrick, P.; (1994) *. [N/A], Codes and Cyphers, Decoding BCH Codes by Canonical Choice in F[x] $\Times[ F]x$ [B5331] , 01-JAN-94 - 30-DEC-99
(1994)Mathematics in Signal Processing III,
Fitzpatrick, P.; (1994) *. [N/A], Mathematics in Signal Processing III, A Coding Theoretic Approach to Fault Tolerant Matrix Decomposition and Solution of Linear Systems of , 01-JAN-94 - 30-DEC-99
(1993)Proceedings. Int. Symp. on Information Theory,
Fitzpatrick, P.; (1993) *. [N/A], Proceedings. Int. Symp. on Information Theory, A New Look at the Key Equation [B5323] , 01-JAN-93 - 30-DEC-99
(1992)Proceedings. Conf. on Application Specific Array Processors,
Fitzpatrick, P.; Murphy, C. C.; (1992) *. [N/A], Proceedings. Conf. on Application Specific Array Processors, Fault Tolerant Matrix Triangularization and the Solution of Linear Systems of Equations [B5321] , 08-JAN-92 - 30-DEC-99

Editorial

 YearPublication
(2010)Special issue algebraic coding theory and applications Foreword.
Campillo, A,Fitzpatrick, P,Martinez-Moro, E,Pellikaan, R; (2010) Special issue algebraic coding theory and applications Foreword. Editorial [DOI] [Details]

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