39 citations · 92 across the 12 of their papers we have counts for
12 papers
On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2)
V. Gerdt, R. Horan, A. Khvedelidze +3
The reduced Hamiltonian system on T*SU(3)/SU(2)) is derived from a Riemannian geodesic motion on the SU(3) group manifold parameterised by the generalised Euler angles and endowed…
Near Maximum-Likelihood Performance of Some New Cyclic Codes Constructed in the Finite-Field Transform Domain
C. Tjhai, M. Tomlinson, R. Horan +2
It is shown that some well-known and some new cyclic codes with orthogonal parity-check equations can be constructed in the finite-field transform domain. It is also shown that, fo…
Idempotents, Mattson-Solomon Polynomials and Binary LDPC codes
R. Horan, C. Tjhai, M. Tomlinson +2
We show how to construct an algorithm to search for binary idempotents which may be used to construct binary LDPC codes. The algorithm, which allows control of the key properties o…
GF(2^m) Low-Density Parity-Check Codes Derived from Cyclotomic Cosets
C. Tjhai, M. Tomlinson, R. Horan +2
Based on the ideas of cyclotomic cosets, idempotents and Mattson-Solomon polynomials, we present a new method to construct GF(2^m), where m>0 cyclic low-density parity-check codes.…
Charged Particles: A Builder's Guide
Emili Bagan, Robin Horan, Martin Lavelle +2
It is sometimes claimed that one cannot describe charged particles in gauge theories. We identify the root of the problem and present an explicit construction of charged particles.…
Effective Quarks and Their Interactions
Emili Bagan, Robin Horan, Martin Lavelle +1
This talk will summarise the progress we have made in our programme to both characterise and construct charges in gauge theories. As an application of these ideas we will see how t…