80 citations · 80 across the 1 of their papers we have counts for
2 papers
math.CO2002★ 80 cited
The Z_4-Linearity of Kerdock, Preparata, Goethals and Related Codes
A. Roger Hammons, P. Vijay Kumar, A. R. Calderbank +2
Certain notorious nonlinear binary codes contain more codewords than any known linear code. These include the codes constructed by Nordstrom-Robinson, Kerdock, Preparata, Goethals,…
math.CO1993
A linear construction for certain Kerdock and Preparata codes
A. R. Calderbank, A. Roger Hammons, P. Vijay Kumar +2
The Nordstrom-Robinson, Kerdock, and (slightly modified) Pre\- parata codes are shown to be linear over $\ZZ_4$, the integers . The Kerdock and Preparata codes are duals o…