On the vector subspaces of $$\mathbb {F}_{2^n}$$ over which...
2j′) the second highest degree of the monomials in LEk(x) (resp. LEk′(x)), we have dim(Ek∩Ek′)≤r=max(j,j′+k−k′). This is a direct consequence of the relations LEk∩Ek′(x)=gcd(LEk(x),LEk′(x))=gcd(LEk(x),(LEk′(x))2k−k′)=gcd(LEk(x),LEk(x)+...