Y.S.Han RS Codes 23+x+1.Let a be a root of x3+x+1.Then g(z)=(x-a)(a-a2)(c-a3)(x-a4)=x4+a3x3+x2+ax+a3 will generate a(7,3)RS code with dmin =2 x 2+1=5. The number of codewords of this code is 83 =512. School of Electrical Engineering Intelligentization,Dongguan University of TechnologyY. S. Han RS Codes 4 x 3 + x + 1. Let α be a root of x 3 + x + 1. Then g(x) = (x−α)(x−α 2 )(x−α 3 )(x−α 4 ) = x 4 +α 3 x 3 +x 2 +αx+α 3 will generate a (7, 3) RS code with dmin = 2 × 2 + 1 = 5. The number of codewords of this code is 8 3 = 512. School of Electrical Engineering & Intelligentization, Dongguan University of Technology