Results 21 to 30 of about 215 (44)

A linear construction for certain Kerdock and Preparata codes

open access: yes, 1993
The Nordstrom-Robinson, Kerdock, and (slightly modified) Pre\- parata codes are shown to be linear over $\ZZ_4$, the integers $\bmod~4$. The Kerdock and Preparata codes are duals over $\ZZ_4$, and the Nordstrom-Robinson code is self-dual. All these codes
A. R. Calderbank   +5 more
core   +1 more source

A projective two-weight code related to the simple group ${\rm Co}_1$ of Conway

open access: yes, 2018
A binary $[98280, 24, 47104]_2$ projective two-weight code related to the sporadic simple group ${\rm Co}_1$ of Conway is constructed as a faithful and absolutely irreducible submodule of the permutation module induced by the primitive action of ${\rm Co}
Rodrigues, Bernardo G.
core  
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