The weight distribution of RM(3,11) is computed by assembling coset weight enumerators from representatives of 3691560 GL(10,2)-orbits of cubic forms in 10 variables, using a structural theorem on hyperplane restrictions, while also improving covering radius bounds.
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The Weight Distribution of the Third-Order Reed-Muller Code of Length 2048
The weight distribution of RM(3,11) is computed by assembling coset weight enumerators from representatives of 3691560 GL(10,2)-orbits of cubic forms in 10 variables, using a structural theorem on hyperplane restrictions, while also improving covering radius bounds.