Let V consists of all n-tuples (V1, ..., Vn) where the vi are integers modulo 2. Addition is defined component-wise by (

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Let V Consists Of All N Tuples V1 Vn Where The Vi Are Integers Modulo 2 Addition Is Defined Component Wise By 1 (42.83 KiB) Viewed 14 times

Let V consists of all n-tuples (V1, ..., Vn) where the vi are integers modulo 2. Addition is defined component-wise by (41, ,un) + (11,...,Vn) ((u1 + vt) mod 2,..., đun + m) mod 2). Prove that the blocks set {{x,y,z, w} : x,y,z, W E V,x+y+z+w = (0,...,0)} is a 3 – (2", 4,1) design.