Linear Codes with Two Weights or Three Weights from Two Types of Quadratic forms

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Let Fq be a finite field with q = pm elements, where p is an odd prime and m is a positive integer. Here, let D〇 = ) G F g{ (0 ,0 ) } : Tr(x{ 1 +1 ^Xz 2 +1 ) = c) f where cG Fg, Tr is the trace function from Fq to F^, and m/ (m , k ) is odd, m / (m ,
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