Kevin Phelps Professor

Areas of Interest

• Coding Theory
• Design Theory

Research interests

Selected recent publications

• Kernels of nonlinear Hamming Codes, Designs, Codes and Cryptography, 6 (1995), 247-257 (with M. LeVan).
• Computing kernels of nonlinear codes, J. Combin. Math. Combin. Comput., 20 (1996), 237-241 (with M. LeVan).
• Random Methods in Design Theory, J. Combin. Designs, 4 (1996), 255-273 (with D. Grable).
• Generalized Steiner Systems with block size 3 and group size $q \equiv 3$ (mod 6), J. of Combinatorial Designs 5 (1997) 417-432 (with C. Yin).
• Group divisible designs and constant weight codes, Design Codes and Cryptography, 16(1999), 11-27 (with Simon Blake-Wilson).
• Generalized Steiner System with group size $4$ and block size $3$, Ars Combinatoria, 53(1999) 133-146(with C. Yin)
• Nonsystematic Perfect Codes, SIAM J. on Discrete Math.,12(1999) no. 1,27-34 (with M. LeVan).
• Switching classes of Perfect codes, Designs, Codes and Cryptography, 16(1999) 179-184.
• Ternary Hamming and binary perfect covering codes, DIMACS series in Discrete Mathematics and Theorectical Computer Science Vol 56, AMS (2001) pp111-114. (with I Dejter) .
• An enumeration of 1-perfect binary codes, Australasian Journal of Combinatorics, 21(2000) 287-298.
• Ranks of q-ary 1-perfect codes, Designs, Codes , and Cryptography (with M. Villanueva) 27(2002) , no1/2, 139-144.
• On Perfect Codes: rank and kernel, Designs, Codes , and Cryptography (with M. Villanueva) 27(2002) 183-194.
• On binary 1-perfect additive codes: Some structural properties, IEEE Trans. Information Theory, Vol 48(2002), no 9. 2587-2592 (with J. Rifa).
• The rank and kernal of extended 1-perfect Z_4 linear and additive non Z_4 linear codes, J. Borges, K.T.Phelps, J. Rifa, IEEE Trans. Inform. Theory, 49(2003), no.8,2028-2034.
• On the kernel and rank of Z4-linear Preparata-like and Kerdock-like codes , J. Borges, K.T.Phelps, J. Rifa, V. Zinoviev ,IEEE Trans. Infor. Theory, November 2003, vol 49, no. 11,2834-2843.
• Orthogonal quadruple systems and 3-frames, J. Combinat. Theory,Series A, 104(2003) 115-124. (with W. Muse).
• Kernels and p-kernels of q-ary 1-perfect codes, Designs, Codes and Cryptography, to appear (with J. Rifa, M. Villanueva).
• Quarternary Reed-Muller Codes, IEEE Trans. Information Theory, 51(2005) no. 7, pp2686-2691. (with J. Borges, C. Fernandez)