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Binary linear quasi-perfect codes are normal

Authors:	Hou X.-D.

Affiliation:	Dept. of Math. & Stat., Wright State Univ., Dayton, OH;

Abstract:	Whether quasi-perfect codes are normal is addressed. Let C be a code of length n, dimension k, covering radius R, and minimal distance d. It is proved that C is normal if d⩾2R-1. Hence all quasi-perfect codes are normal. Consequently, any [n,k ]R binary linear code with minimal distance d⩾2R-1 is normal

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